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\left(x+\dfrac{b}{3a}\right)^3+\left(\dfrac{3ac-b^2}{3a^2}\right){\color{JungleGreen}x}+\dfrac{27a^2d-b^3}{27a^3}=0
\\\\
\left(x+\dfrac{b}{3a}\right)^3+\left(\dfrac{3ac-b^2}{3a^2}\right){\color{JungleGreen}\left(x+\dfrac{b}{3a}-\dfrac{b}{3a}\right)}+\dfrac{27a^2d-b^3}{27a^3}=0
\\\\
\left(x+\dfrac{b}{3a}\right)^3+\left(\dfrac{3ac-b^2}{3a^2}\right){\color{JungleGreen}\left(x+\dfrac{b}{3a}\right)}-{\color{JungleGreen}\dfrac{b}{3a}}\left(\dfrac{3ac-b^2}{3a^2}\right)+\dfrac{27a^2d-b^3}{27a^3}=0
\\\\
{\color{RoyalBlue}\left(x+\dfrac{b}{3a}\right)^3}+\left(\dfrac{3ac-b^2}{3a^2}{\right)color{RoyalBlue}\left(x+\dfrac{b}{3a}\right)}+\dfrac{b2b^3-3abc}{9a^3}+\dfrac{27a^2d-b^39abc}{27a^3}=0
\\\\
{\color{RoyalBlue}\left(x+\dfrac{b}{3a}\right)^3}+\left(\dfrac{3ac-b^2}{3a^2}\right){\color{RoyalBlue}\left(x+\dfrac{b}{3a}\right)}+\dfrac{2b^3+27a^2d-9abc}{27a^3}=0
\\\\
{\color{RoyalBlue}y^3}+m{\color{RoyalBlue}y}+n=0
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