x 2 +2x−76=4

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

1. First, let's rewrite the equation: x^2 + 2x - 76 = 4
2. Then, let's subtract 4 from both sides to set the equation to zero: x^2 + 2x - 76 - 4 = 0
3. This simplifies to: x^2 + 2x - 80 = 0
4. Now, we can factor the equation: (x - 8)(x + 10) = 0
5. Setting each factor equal to zero gives the solutions: x - 8 = 0 and x + 10 = 0
6. Solving for x in each equation gives: x = 8 and x = -10

So, the solutions to the equation x^2 + 2x - 76 = 4 are x = 8 and x = -10.