(x + 3)to the power of 2 - 2 = 2x + 4

Sure, let's solve the equation step by step:

Given equation is: (x + 3)^2 - 2 = 2x + 4

Step 1: Expand the left side of the equation: (x + 3)^2 - 2 = x^2 + 6x + 9 - 2 = x^2 + 6x + 7

So, the equation becomes: x^2 + 6x + 7 = 2x + 4

Step 2: Rearrange the equation to bring all terms to one side: x^2 + 6x - 2x + 7 - 4 = 0 This simplifies to: x^2 + 4x + 3 = 0

Step 3: Factor the quadratic equation: (x + 1)(x + 3) = 0

Step 4: Set each factor equal to zero and solve for x: x + 1 = 0 => x = -1 x + 3 = 0 => x = -3

So, the solutions to the equation are x = -1 and x = -3.