Solve by Factoring y=x^2+2x-3

$y = x^{2} + 2 x - 3$

Step 1

Move all the expressions to the left side of the equation.

Subtract $x^{2}$ from both sides of the equation.

$y - x^{2} = 2 x - 3$

Subtract $2 x$ from both sides of the equation.

$y - x^{2} - 2 x = - 3$

Add $3$ to both sides of the equation.

$y - x^{2} - 2 x + 3 = 0$

Step 2

Move all terms not containing $y$ to the right side of the equation.

Add $x^{2}$ to both sides of the equation.

$y - 2 x + 3 = x^{2}$

Add $2 x$ to both sides of the equation.

$y + 3 = x^{2} + 2 x$

Subtract $3$ from both sides of the equation.

$y = x^{2} + 2 x - 3$