Solve 15x+7y^2=6

$$15 x + 7 y ^ { 2 } = 6$$

Solve for x

$$x=-\frac{7y^{2}}{15}+\frac{2}{5}$$

Steps for Solving Linear Equation

Subtract 7y^{2} from both sides.

$$15x=6-7y^{2}$$

Divide both sides by 15.

$$\frac{15x}{15}=\frac{6-7y^{2}}{15}$$

Dividing by 15 undoes the multiplication by 15.

$$x=\frac{6-7y^{2}}{15}$$

Divide 6-7y^{2} by 15.

$$x=-\frac{7y^{2}}{15}+\frac{2}{5}$$

Solve for y (complex solution)

$$y=-\frac{\sqrt{42-105x}}{7}$$

$$y=\frac{\sqrt{42-105x}}{7}$$

Solve for y

$$y=\frac{\sqrt{42-105x}}{7}$$

$$y=-\frac{\sqrt{42-105x}}{7}\text{, }x\leq \frac{2}{5}$$