Solve k=(-2x)*5y

$$k = ( - 2 x ) \times 5 y$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=-\frac{k}{10y}\text{, }&y\neq 0\\x\in \mathrm{C}\text{, }&k=0\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply -2 and 5 to get -10.

$$k=-10xy$$

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

$$-10xy=k$$

The equation is in standard form.

$$\left(-10y\right)x=k$$

Divide both sides by -10y.

$$\frac{\left(-10y\right)x}{-10y}=\frac{k}{-10y}$$

Dividing by -10y undoes the multiplication by -10y.

$$x=\frac{k}{-10y}$$

Divide k by -10y.

$$x=-\frac{k}{10y}$$

Solve for x

$$\left\{\begin{matrix}x=-\frac{k}{10y}\text{, }&y\neq 0\\x\in \mathrm{R}\text{, }&k=0\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply -2 and 5 to get -10.

$$k=-10xy$$

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

$$-10xy=k$$

The equation is in standard form.

$$\left(-10y\right)x=k$$

Divide both sides by -10y.

$$\frac{\left(-10y\right)x}{-10y}=\frac{k}{-10y}$$

Dividing by -10y undoes the multiplication by -10y.

$$x=\frac{k}{-10y}$$

Divide k by -10y.

$$x=-\frac{k}{10y}$$

Solve for k

$$k=-10xy$$

Solution Steps

Multiply -2 and 5 to get -10.

$$k=-10xy$$