Solve for m (complex solution)
\left\{\begin{matrix}m=-\frac{b-y}{x^{3}}\text{, }&x\neq 0\\m\in \mathrm{C}\text{, }&y=b\text{ and }x=0\end{matrix}\right.
Solve for m
\left\{\begin{matrix}m=-\frac{b-y}{x^{3}}\text{, }&x\neq 0\\m\in \mathrm{R}\text{, }&y=b\text{ and }x=0\end{matrix}\right.
Solve for b
b=y-mx^{3}
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mx^{3}+b=y
Swap sides so that all variable terms are on the left hand side.
mx^{3}=y-b
Subtract b from both sides.
x^{3}m=y-b
The equation is in standard form.
\frac{x^{3}m}{x^{3}}=\frac{y-b}{x^{3}}
Divide both sides by x^{3}.
m=\frac{y-b}{x^{3}}
Dividing by x^{3} undoes the multiplication by x^{3}.
mx^{3}+b=y
Swap sides so that all variable terms are on the left hand side.
mx^{3}=y-b
Subtract b from both sides.
x^{3}m=y-b
The equation is in standard form.
\frac{x^{3}m}{x^{3}}=\frac{y-b}{x^{3}}
Divide both sides by x^{3}.
m=\frac{y-b}{x^{3}}
Dividing by x^{3} undoes the multiplication by x^{3}.
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