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Simplifying W(W + 5) = 126 Reorder the terms: W(5 + W) = 126 (5 * W + W * W) = 126 (5W + W2) = 126 Solving 5W + W2 = 126 Solving for variable 'W'. Reorder the terms: -126 + 5W + W2 = 126 + -126 Combine like terms: 126 + -126 = 0 -126 + 5W + W2 = 0 Factor a trinomial. (-14 + -1W)(9 + -1W) = 0Subproblem 1
Set the factor '(-14 + -1W)' equal to zero and attempt to solve: Simplifying -14 + -1W = 0 Solving -14 + -1W = 0 Move all terms containing W to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1W = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1W = 0 + 14 -1W = 0 + 14 Combine like terms: 0 + 14 = 14 -1W = 14 Divide each side by '-1'. W = -14 Simplifying W = -14Subproblem 2
Set the factor '(9 + -1W)' equal to zero and attempt to solve: Simplifying 9 + -1W = 0 Solving 9 + -1W = 0 Move all terms containing W to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1W = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1W = 0 + -9 -1W = 0 + -9 Combine like terms: 0 + -9 = -9 -1W = -9 Divide each side by '-1'. W = 9 Simplifying W = 9Solution
W = {-14, 9}
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