Solve for x (complex solution)
\left\{\begin{matrix}x=\frac{D}{y^{2}}\text{, }&y\neq 0\\x\in \mathrm{C}\text{, }&D=0\text{ and }y=0\end{matrix}\right.
Solve for D
D=xy^{2}
Solve for x
\left\{\begin{matrix}x=\frac{D}{y^{2}}\text{, }&y\neq 0\\x\in \mathrm{R}\text{, }&D=0\text{ and }y=0\end{matrix}\right.
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D=\frac{y\times 2}{2}xy
Express \frac{y}{2}\times 2 as a single fraction.
D=yxy
Cancel out 2 and 2.
D=y^{2}x
Multiply y and y to get y^{2}.
y^{2}x=D
Swap sides so that all variable terms are on the left hand side.
\frac{y^{2}x}{y^{2}}=\frac{D}{y^{2}}
Divide both sides by y^{2}.
x=\frac{D}{y^{2}}
Dividing by y^{2} undoes the multiplication by y^{2}.
D=\frac{y\times 2}{2}xy
Express \frac{y}{2}\times 2 as a single fraction.
D=yxy
Cancel out 2 and 2.
D=y^{2}x
Multiply y and y to get y^{2}.
D=\frac{y\times 2}{2}xy
Express \frac{y}{2}\times 2 as a single fraction.
D=yxy
Cancel out 2 and 2.
D=y^{2}x
Multiply y and y to get y^{2}.
y^{2}x=D
Swap sides so that all variable terms are on the left hand side.
\frac{y^{2}x}{y^{2}}=\frac{D}{y^{2}}
Divide both sides by y^{2}.
x=\frac{D}{y^{2}}
Dividing by y^{2} undoes the multiplication by y^{2}.
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