Solve 4x^2+6y=5

$$4 x ^ { 2 } + 6 y = 5$$

Solve for y

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

Steps for Solving Linear Equation

Subtract 4x^{2} from both sides.

$$6y=5-4x^{2}$$

Divide both sides by 6.

$$\frac{6y}{6}=\frac{5-4x^{2}}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$y=\frac{5-4x^{2}}{6}$$

Divide 5-4x^{2} by 6.

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

Solve for x (complex solution)

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

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

Solve for x

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

$$x=-\frac{\sqrt{5-6y}}{2}\text{, }y\leq \frac{5}{6}$$