# How do you solve #(x+2)^2 = 20#?

There are many approaches to this type of problem. One option is to expand the square and use the quadratic formula to solve the equation. However in this specific case, we have a simpler way of solving this:

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To solve the equation (x+2)^2 = 20, you can follow these steps:

- Expand the left side of the equation: (x+2)^2 = (x+2)(x+2) = x^2 + 4x + 4.
- Set the expanded expression equal to 20: x^2 + 4x + 4 = 20.
- Subtract 20 from both sides of the equation: x^2 + 4x + 4 - 20 = 0.
- Combine like terms: x^2 + 4x - 16 = 0.
- This is a quadratic equation in standard form. You can solve it by factoring, completing the square, or using the quadratic formula.
- Factoring: (x + 8)(x - 2) = 0.
- Set each factor equal to zero and solve for x: x + 8 = 0 => x = -8 x - 2 = 0 => x = 2.
- The solutions to the equation (x+2)^2 = 20 are x = -8 and x = 2.

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