X^2+4x=5

I need to factor this

Let's solve your equation step-by-step.

x² + 4x = 5

Step 1: Subtract 5 from both sides.

x² + 4x - 5 = 5 - 5

x² + 4x - 5 = 0

Step 2: Factor left side of equation.

(x-1) (x+5) = 0

Step 3: Set factors equal to 0.

x-1 = 0 or x + 5 = 0

x = 1 or x = - 5

x² + 4x = 5

x² + 4x - 5 = 5 - 5

x² + 4x - 5 = 0

x² + 5x - x - 5 = 0

x (x) + x (5) - 1 (x) - 1 (5) = 0

(x - 1) (x + 5) = 0

x - 1 = 0 or x + 5 = 0

+ 1 + 1 - 5 - 5

x = 1 x = - 5