Solve y^2=2x+3x+39.5

$${ y }^{ 2 } = 2x+3x+39.5$$

Solve for x

$$x=\frac{y^{2}}{5}-7.9$$

Steps for Solving Linear Equation

Combine 2x and 3x to get 5x.

$$y^{2}=5x+39.5$$

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

$$5x+39.5=y^{2}$$

Subtract 39.5 from both sides.

$$5x=y^{2}-39.5$$

Divide both sides by 5.

$$\frac{5x}{5}=\frac{y^{2}-39.5}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$x=\frac{y^{2}-39.5}{5}$$

Divide y^{2}-39.5 by 5.

$$x=\frac{y^{2}}{5}-\frac{79}{10}$$

Solve for y (complex solution)

$$y=-\sqrt{5x+39.5}$$

$$y=\sqrt{5x+39.5}$$

Solve for y

$$y=\frac{\sqrt{20x+158}}{2}$$

$$y=-\frac{\sqrt{20x+158}}{2}\text{, }x\geq -\frac{79}{10}$$