Solve 75-24x=20y^2

$$75 - 24 x = 20 y ^ { 2 }$$

Solve for x

$$x=-\frac{5y^{2}}{6}+\frac{25}{8}$$

Steps for Solving Linear Equation

Subtract 75 from both sides.

$$-24x=20y^{2}-75$$

Divide both sides by -24.

$$\frac{-24x}{-24}=\frac{20y^{2}-75}{-24}$$

Dividing by -24 undoes the multiplication by -24.

$$x=\frac{20y^{2}-75}{-24}$$

Divide 20y^{2}-75 by -24.

$$x=-\frac{5y^{2}}{6}+\frac{25}{8}$$

Solve for y (complex solution)

$$y=-\frac{\sqrt{375-120x}}{10}$$

$$y=\frac{\sqrt{375-120x}}{10}$$

Solve for y

$$y=\frac{\sqrt{375-120x}}{10}$$

$$y=-\frac{\sqrt{375-120x}}{10}\text{, }x\leq \frac{25}{8}$$