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Simplifying (w + 1)(w + 12) = 0 Reorder the terms: (1 + w)(w + 12) = 0 Reorder the terms: (1 + w)(12 + w) = 0 Multiply (1 + w) * (12 + w) (1(12 + w) + w(12 + w)) = 0 ((12 * 1 + w * 1) + w(12 + w)) = 0 ((12 + 1w) + w(12 + w)) = 0 (12 + 1w + (12 * w + w * w)) = 0 (12 + 1w + (12w + w2)) = 0 Combine like terms: 1w + 12w = 13w (12 + 13w + w2) = 0 Solving 12 + 13w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (12 + w)(1 + w) = 0Subproblem 1
Set the factor '(12 + w)' equal to zero and attempt to solve: Simplifying 12 + w = 0 Solving 12 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + w = 0 + -12 w = 0 + -12 Combine like terms: 0 + -12 = -12 w = -12 Simplifying w = -12Subproblem 2
Set the factor '(1 + w)' equal to zero and attempt to solve: Simplifying 1 + w = 0 Solving 1 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + w = 0 + -1 w = 0 + -1 Combine like terms: 0 + -1 = -1 w = -1 Simplifying w = -1Solution
w = {-12, -1}
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