Solve x=k(-y^2)

$$x = k ( - y ^ { 2 } )$$

Solve for k (complex solution)

$$\left\{\begin{matrix}k=-\frac{x}{y^{2}}\text{, }&y\neq 0\\k\in \mathrm{C}\text{, }&x=0\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$k\left(-y^{2}\right)=x$$

Reorder the terms.

$$-ky^{2}=x$$

The equation is in standard form.

$$\left(-y^{2}\right)k=x$$

Divide both sides by -y^{2}.

$$\frac{\left(-y^{2}\right)k}{-y^{2}}=\frac{x}{-y^{2}}$$

Dividing by -y^{2} undoes the multiplication by -y^{2}.

$$k=\frac{x}{-y^{2}}$$

Divide x by -y^{2}.

$$k=-\frac{x}{y^{2}}$$

Solve for k

$$\left\{\begin{matrix}k=-\frac{x}{y^{2}}\text{, }&y\neq 0\\k\in \mathrm{R}\text{, }&x=0\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$k\left(-y^{2}\right)=x$$

Reorder the terms.

$$-ky^{2}=x$$

The equation is in standard form.

$$\left(-y^{2}\right)k=x$$

Divide both sides by -y^{2}.

$$\frac{\left(-y^{2}\right)k}{-y^{2}}=\frac{x}{-y^{2}}$$

Dividing by -y^{2} undoes the multiplication by -y^{2}.

$$k=\frac{x}{-y^{2}}$$

Divide x by -y^{2}.

$$k=-\frac{x}{y^{2}}$$

Solve for x

$$x=-ky^{2}$$

Solution Steps

Reorder the terms.

$$x=-ky^{2}$$