Final answer:
To solve the equation x² + 8x = 4, rearrange it to the form of a quadratic equation, factor it, and solve for x.
Step-by-step explanation:
To solve the equation x2 + 8x = 4, we need to rearrange it to the form of a quadratic equation and then find the values of x that satisfy the equation. Here are the steps:
- Rearrange the equation: x2 + 8x - 4 = 0
- Factor the quadratic equation: (x + 2)(x - 2) = 0
- Set each factor equal to zero and solve for x: x + 2 = 0 or x - 2 = 0
- Solve for x: x = -2 or x = 2
Therefore, the solution to the equation x2 + 8x = 4 is x = -2 or x = 2.