Solve -10=2*(-6/5x+15/25xy^2

$$- 10 = 2 \cdot ( - \frac { 6 } { 5 } x + \frac { 15 } { 25 } x y ^ { 2 }$$

Solve for x (complex solution)

$$x=-\frac{25}{3\left(y^{2}-2\right)}$$

$$y\neq -\sqrt{2}\text{ and }y\neq \sqrt{2}$$

Steps for Solving Linear Equation

Divide both sides by 2.

$$\frac{-10}{2}=-\frac{6}{5}x+\frac{15}{25}xy^{2}$$

Divide -10 by 2 to get -5.

$$-5=-\frac{6}{5}x+\frac{15}{25}xy^{2}$$

Reduce the fraction \frac{15}{25} to lowest terms by extracting and canceling out 5.

$$-5=-\frac{6}{5}x+\frac{3}{5}xy^{2}$$

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

$$-\frac{6}{5}x+\frac{3}{5}xy^{2}=-5$$

Combine all terms containing x.

$$\left(-\frac{6}{5}+\frac{3}{5}y^{2}\right)x=-5$$

The equation is in standard form.

$$\frac{3y^{2}-6}{5}x=-5$$

Divide both sides by -\frac{6}{5}+\frac{3}{5}y^{2}.

$$\frac{5\times \frac{3y^{2}-6}{5}x}{3y^{2}-6}=\frac{-5\times 5}{3y^{2}-6}$$

Dividing by -\frac{6}{5}+\frac{3}{5}y^{2} undoes the multiplication by -\frac{6}{5}+\frac{3}{5}y^{2}.

$$x=\frac{-5\times 5}{3y^{2}-6}$$

Divide -5 by -\frac{6}{5}+\frac{3}{5}y^{2}.

$$x=-\frac{25}{3\left(y^{2}-2\right)}$$

Solve for x

$$x=-\frac{25}{3\left(y^{2}-2\right)}$$

$$|y|\neq \sqrt{2}$$

Steps for Solving Linear Equation

Divide both sides by 2.

$$\frac{-10}{2}=-\frac{6}{5}x+\frac{15}{25}xy^{2}$$

Divide -10 by 2 to get -5.

$$-5=-\frac{6}{5}x+\frac{15}{25}xy^{2}$$

Reduce the fraction \frac{15}{25} to lowest terms by extracting and canceling out 5.

$$-5=-\frac{6}{5}x+\frac{3}{5}xy^{2}$$

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

$$-\frac{6}{5}x+\frac{3}{5}xy^{2}=-5$$

Combine all terms containing x.

$$\left(-\frac{6}{5}+\frac{3}{5}y^{2}\right)x=-5$$

The equation is in standard form.

$$\frac{3y^{2}-6}{5}x=-5$$

Divide both sides by -\frac{6}{5}+\frac{3}{5}y^{2}.

$$\frac{5\times \frac{3y^{2}-6}{5}x}{3y^{2}-6}=\frac{-5\times 5}{3y^{2}-6}$$

Dividing by -\frac{6}{5}+\frac{3}{5}y^{2} undoes the multiplication by -\frac{6}{5}+\frac{3}{5}y^{2}.

$$x=\frac{-5\times 5}{3y^{2}-6}$$

Divide -5 by -\frac{6}{5}+\frac{3}{5}y^{2}.

$$x=-\frac{25}{3\left(y^{2}-2\right)}$$

Solve for y (complex solution)

$$y=-\frac{\sqrt{18-\frac{75}{x}}}{3}$$

$$y=\frac{\sqrt{18-\frac{75}{x}}}{3}\text{, }x\neq 0$$

Solve for y

$$y=\frac{\sqrt{18-\frac{75}{x}}}{3}$$

$$y=-\frac{\sqrt{18-\frac{75}{x}}}{3}\text{, }x\geq \frac{25}{6}\text{ or }x<0$$