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Simplifying (13 + w)(13 + w) = 0 Multiply (13 + w) * (13 + w) (13(13 + w) + w(13 + w)) = 0 ((13 * 13 + w * 13) + w(13 + w)) = 0 ((169 + 13w) + w(13 + w)) = 0 (169 + 13w + (13 * w + w * w)) = 0 (169 + 13w + (13w + w2)) = 0 Combine like terms: 13w + 13w = 26w (169 + 26w + w2) = 0 Solving 169 + 26w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (13 + w)(13 + w) = 0Subproblem 1
Set the factor '(13 + w)' equal to zero and attempt to solve: Simplifying 13 + w = 0 Solving 13 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + w = 0 + -13 Combine like terms: 13 + -13 = 0 0 + w = 0 + -13 w = 0 + -13 Combine like terms: 0 + -13 = -13 w = -13 Simplifying w = -13Subproblem 2
Set the factor '(13 + w)' equal to zero and attempt to solve: Simplifying 13 + w = 0 Solving 13 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + w = 0 + -13 Combine like terms: 13 + -13 = 0 0 + w = 0 + -13 w = 0 + -13 Combine like terms: 0 + -13 = -13 w = -13 Simplifying w = -13Solution
w = {-13, -13}
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