Solve 25x=200000+y*x+1*x^2

$$25x=200000+y \times x+1 \times { x }^{ 2 }$$

Solve for y

$$y=-x+25-\frac{200000}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$200000+yx+1x^{2}=25x$$

Subtract 200000 from both sides.

$$yx+1x^{2}=25x-200000$$

Subtract 1x^{2} from both sides.

$$yx=25x-200000-x^{2}$$

The equation is in standard form.

$$xy=-x^{2}+25x-200000$$

Divide both sides by x.

$$\frac{xy}{x}=\frac{-x^{2}+25x-200000}{x}$$

Dividing by x undoes the multiplication by x.

$$y=\frac{-x^{2}+25x-200000}{x}$$

Divide 25x-200000-x^{2} by x.

$$y=-x+25-\frac{200000}{x}$$

Solve for x (complex solution)

$$x=\frac{-\sqrt{y^{2}-50y-799375}-y+25}{2}$$

$$x=\frac{\sqrt{y^{2}-50y-799375}-y+25}{2}$$

Solve for x

$$x=\frac{-\sqrt{y^{2}-50y-799375}-y+25}{2}$$

$$x=\frac{\sqrt{y^{2}-50y-799375}-y+25}{2}\text{, }y\geq 400\sqrt{5}+25\text{ or }y\leq 25-400\sqrt{5}$$