text1 = MathTex(r"a", r"x^2", r"+", r"b", r"x", r"+", r"c", r"=", r"0")
text2 = MathTex(r"a", r"x^2", r"+", r"b", r"x", r"=", r"-", r"c")
text3 = MathTex(r"x^2", r"+", r"{", r"b", r"\over ", r"a", r"}", r"x",
r"=", r"-", r"{", r"c", r"\over ", r"a", r"}")
text4 = MathTex(r"x^2", r"+", r"{", r"b", r"\over ", r"a", r"}", r"x",
r"+", r"\left({", r"b", r"\over ", r"2a", r"}\right)^2", r"=", r"-",
r"{", r"c", r"\over ", r"a", r"}", r"+", r"\left({", r"b\over ", r"2a", r"}\right)^2")
text5 = MathTex(r"\left(", r"x", r"+", r"{", r"b", r"\over ", r"2a", r"}\right)^2",
r"=", r"-", r"{", r"c", r"\over ", r"a", r"}", r"+", r"\left({", r"b", r"\over ", r"2a", r"}\right)^2")
text6 = MathTex(r"\left(", r"x", r"+", r"{", r"b", r"\over ", r"2a", r"}\right)^2",
r"=", r"-", r"{", r"c", r"\over ", r"a", r"}", r"+", r"{", r"b", r"^2\over ", r"4a", r"^2}")
text7 = MathTex(r"\left(", r"x", r"+", r"{", r"b", r"\over ", r"2a", r"}\right)^2",
r"=", r"{", r"b", r"^2\over ", r"4a", r"^2}", r"-", r"{", r"c", r"\over ", r"a", r"}")
text8 = MathTex(r"\left(", r"x", r"+", r"{", r"b", r"\over ", r"2a", r"}\right)^2",
r"=", r"{", r"b", r"^2\over ", r"4a", r"^2}", r"-", r"{", r"4c", r"\over ", r"4a", r"}")
text9 = MathTex(r"\left(", r"x", r"+", r"{", r"b", r"\over ", r"2a", r"}\right)^2",
r"=", r"{", r"b", r"^2\over ", r"4a", r"^2}", r"-", r"{", r"4a", r"c", r"\over ", r"4a", r"^2}")
text10 = MathTex(r"\left(", r"x", r"+", r"{", r"b", r"\over ", r"2a", r"}\right)^2",
r"=", r"{", r"b", r"^2", r"-", r"4a", r"c", r"\over ", r"4a", r"^2", r"}")
text11 = MathTex(r"\sqrt{ ", r"\left(", r"x", r"+", r"{", r"b", r"\over ", r"2a", r"}\right)^2}",
r"=\pm", r"\sqrt{ ", r"{", r"b", r"^2", r"-", r"4a", r"c", r"\over ", r"4", r"a", r"^2", r"}}")
text12 = MathTex(r"x", r"+", r"{", r"b", r"\over ", r"2a", r"}", r"=", r"\pm", r"\sqrt{ ", r"{",
r"b", r"^2", r"-", r"4a", r"c", r"\over ", r"4a", r"^2", r"} }")
text13 = MathTex(r"x", r"=", r"-", r"{", r"b", r"\over ", r"2a",
r"}", r"\pm", r"\sqrt{ ", r"{", r"b", r"^2", r"-", r"4a", r"c", r"\over ", r"4a", r"^2", r"} }")
text14 = MathTex(r"x", r"=", r"-", r"{", r"b", r"\over ", r"2a", r"}", r"\pm{", r"\sqrt{ ",
r"b", r"^2", r"-", r"4a", r"c", r"}", r"\over ", r"2a", r"}")
text15 = MathTex(r"x", r"=", r"{", r"-", r"b", r"\pm", r"\sqrt{ ",
r"b", r"^2", r"-", r"4a", r"c", r"}", r"\over ", r"2a", r"}")
self.play(Write(text1))
self.wait()
self.play(text1.animate.shift(UP),
TransformMatchingTex(text1.copy(), text2))
self.play(VGroup(text1, text2).animate.shift(UP),
TransformMatchingTex(text2.copy(), text3))
self.play(VGroup(text1, text2, text3).animate.shift(UP*1.5),
TransformMatchingTex(text3.copy(), text4))
self.play(VGroup(text1, text2, text3, text4).animate.shift(UP*1.5),
TransformMatchingTex(text4.copy(), text5))
self.play(VGroup(text1, text2, text3, text4, text5).animate.shift(UP*1.5),
TransformMatchingTex(text5.copy(), text6))
self.play(VGroup(text1, text2, text3, text4, text5, text6).animate.shift(UP*1.5),
TransformMatchingTex(text6.copy(), text7))
self.play(VGroup(text1, text2, text3, text4, text5, text6, text7).animate.shift(UP*1.5),
TransformMatchingTex(text7.copy(), text8))
self.play(VGroup(text1, text2, text3, text4, text5, text6, text7, text8).animate.shift(UP*1.5),
TransformMatchingTex(text8.copy(), text9))
self.play(VGroup(text1, text2, text3, text4, text5, text6, text7, text8, text9).animate.shift(UP*1.5),
TransformMatchingTex(text9.copy(), text10))
self.play(VGroup(text1, text2, text3, text4, text5, text6, text7, text8, text9, text10).animate.shift(UP*1.5),
TransformMatchingTex(text10.copy(), text11))
self.play(VGroup(text1, text2, text3, text4, text5, text6, text7, text8, text9, text10, text11).animate.shift(UP*1.5),
TransformMatchingTex(text11.copy(), text12))
self.play(VGroup(text1, text2, text3, text4, text5, text6, text7, text8, text9, text10, text11, text12).animate.shift(UP*1.5),
TransformMatchingTex(text12.copy(), text13))
self.play(VGroup(text1, text2, text3, text4, text5, text6, text7, text8, text9, text10, text11, text12, text13).animate.shift(UP*1.5),
TransformMatchingTex(text13.copy(), text14))
self.play(VGroup(text1, text2, text3, text4, text5, text6, text7, text8, text9, text10, text11, text12, text13, text14).animate.shift(UP*1.5),
TransformMatchingTex(text14.copy(), text15))
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