Solve 14x^2-10y=32-100

$$14 x ^ { 2 } - 10 y = 32 - 100$$

Solve for y

$$y=\frac{7x^{2}+34}{5}$$

Steps for Solving Linear Equation

Subtract 100 from 32 to get -68.

$$14x^{2}-10y=-68$$

Subtract 14x^{2} from both sides.

$$-10y=-68-14x^{2}$$

The equation is in standard form.

$$-10y=-14x^{2}-68$$

Divide both sides by -10.

$$\frac{-10y}{-10}=\frac{-14x^{2}-68}{-10}$$

Dividing by -10 undoes the multiplication by -10.

$$y=\frac{-14x^{2}-68}{-10}$$

Divide -68-14x^{2} by -10.

$$y=\frac{7x^{2}+34}{5}$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{35y-238}}{7}$$

$$x=\frac{\sqrt{35y-238}}{7}$$

Solve for x

$$x=\frac{\sqrt{35y-238}}{7}$$

$$x=-\frac{\sqrt{35y-238}}{7}\text{, }y\geq \frac{34}{5}$$