Solve -xy^2=0

$$- x y ^ { 2 } = 0$$

Solve for x (complex solution)

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Reorder the terms.

$$-xy^{2}=0$$

The equation is in standard form.

$$\left(-y^{2}\right)x=0$$

Divide 0 by -y^{2}.

$$x=0$$

Solve for y (complex solution)

$$\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Steps by Finding Square Root

Reorder the terms.

$$-xy^{2}=0$$

Dividing by -x undoes the multiplication by -x.

$$y^{2}=\frac{0}{-x}$$

Divide 0 by -x.

$$y^{2}=0$$

Take the square root of both sides of the equation.

$$y=0 y=0$$

The equation is now solved. Solutions are the same.

$$y=0$$

Steps Using the Quadratic Formula

This equation is in standard form: ax^{2}+bx+c=0. Substitute -x for a, 0 for b, and 0 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$y=\frac{0±\sqrt{0^{2}}}{2\left(-x\right)}$$

Take the square root of 0^{2}.

$$y=\frac{0±0}{2\left(-x\right)}$$

Multiply 2 times -x.

$$y=\frac{0}{-2x}$$

Divide 0 by -2x.

$$y=0$$

Solve for x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Reorder the terms.

$$-xy^{2}=0$$

The equation is in standard form.

$$\left(-y^{2}\right)x=0$$

Divide 0 by -y^{2}.

$$x=0$$

Solve for y

$$\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$