Solve Using the Quadratic Formula y=x^2+x-6

$y = x^{2} + x - 6$

Step 1

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

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

$y - x^{2} = x - 6$

Subtract $x$ from both sides of the equation.

$y - x^{2} - x = - 6$

Add $6$ to both sides of the equation.

$y - x^{2} - x + 6 = 0$

Step 2

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

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

$y - x + 6 = x^{2}$

Add $x$ to both sides of the equation.

$y + 6 = x^{2} + x$

Subtract $6$ from both sides of the equation.

$y = x^{2} + x - 6$