Determine the solution set of (x+2)^2=36

x=4 or x=−8

Step-by-step explanation:

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

(x+2)2=36

Step 1: Simplify both sides of the equation.

x2+4x+4=36

Step 2: Subtract 36 from both sides.

x2+4x+4−36=36−36

x2+4x−32=0

Step 3: Factor left side of equation.

(x−4)(x+8)=0

Step 4: Set factors equal to 0.

x−4=0 or x+8=0

x=4 or x=−8