Solve x(1+x/100)-y=0

$$x ( 1 + \frac { x } { 100 } ) - y = 0$$

Solve for y

$$y=\frac{x\left(x+100\right)}{100}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 100.

$$100x\left(1+\frac{x}{100}\right)-100y=0$$

Use the distributive property to multiply 100x by 1+\frac{x}{100}.

$$100x+100x\times \frac{x}{100}-100y=0$$

Express 100\times \frac{x}{100} as a single fraction.

$$100x+\frac{100x}{100}x-100y=0$$

Cancel out 100 and 100.

$$100x+xx-100y=0$$

Multiply x and x to get x^{2}.

$$100x+x^{2}-100y=0$$

Subtract 100x from both sides. Anything subtracted from zero gives its negation.

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

Subtract x^{2} from both sides.

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

The equation is in standard form.

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

Divide both sides by -100.

$$\frac{-100y}{-100}=-\frac{x\left(x+100\right)}{-100}$$

Dividing by -100 undoes the multiplication by -100.

$$y=-\frac{x\left(x+100\right)}{-100}$$

Divide -x\left(100+x\right) by -100.

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

Solve for x (complex solution)

$$x=10\sqrt{y+25}-50$$

$$x=-10\sqrt{y+25}-50$$

Solve for x

$$x=10\sqrt{y+25}-50$$

$$x=-10\sqrt{y+25}-50\text{, }y\geq -25$$