Solve 3*x^2-2y=5

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

Solve for y

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

Steps for Solving Linear Equation

Subtract 3x^{2} from both sides.

$$-2y=5-3x^{2}$$

Divide both sides by -2.

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

Dividing by -2 undoes the multiplication by -2.

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

Divide 5-3x^{2} by -2.

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

Solve for x (complex solution)

$$x=-\frac{\sqrt{6y+15}}{3}$$

$$x=\frac{\sqrt{6y+15}}{3}$$

Solve for x

$$x=\frac{\sqrt{6y+15}}{3}$$

$$x=-\frac{\sqrt{6y+15}}{3}\text{, }y\geq -\frac{5}{2}$$