Solve x^2+4x-100y=1002

$$x ^ { 2 } + 4 x - 100 y = 1002$$

Solve for y

$$y=\frac{x^{2}+4x-1002}{100}$$

Steps for Solving Linear Equation

Subtract x^{2} from both sides.

$$4x-100y=1002-x^{2}$$

Subtract 4x from both sides.

$$-100y=1002-x^{2}-4x$$

The equation is in standard form.

$$-100y=1002-4x-x^{2}$$

Divide both sides by -100.

$$\frac{-100y}{-100}=\frac{1002-4x-x^{2}}{-100}$$

Dividing by -100 undoes the multiplication by -100.

$$y=\frac{1002-4x-x^{2}}{-100}$$

Divide 1002-x^{2}-4x by -100.

$$y=\frac{x^{2}}{100}+\frac{x}{25}-\frac{501}{50}$$

Solve for x (complex solution)

$$x=\sqrt{100y+1006}-2$$

$$x=-\sqrt{100y+1006}-2$$

Solve for x

$$x=\sqrt{100y+1006}-2$$

$$x=-\sqrt{100y+1006}-2\text{, }y\geq -\frac{503}{50}$$