x 2 +2x−16=2x

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

1. The given equation is x^2 + 2x - 16 = 2x.

2. First, we can simplify the equation by subtracting 2x from both sides to get x^2 - 16 = 0.

3. Then, we can solve for x by factoring the left side of the equation. The factored form of x^2 - 16 is (x - 4)(x + 4) = 0.

4. Setting each factor equal to zero gives us the solutions x - 4 = 0 and x + 4 = 0.

5. Solving these two equations gives us x = 4 and x = -4.

So, the solutions to the equation x^2 + 2x - 16 = 2x are x = 4 and x = -4.