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Simplifying 144 = (7 + W) * W Reorder the terms for easier multiplication: 144 = W(7 + W) 144 = (7 * W + W * W) 144 = (7W + W2) Solving 144 = 7W + W2 Solving for variable 'W'. Reorder the terms: 144 + -7W + -1W2 = 7W + -7W + W2 + -1W2 Combine like terms: 7W + -7W = 0 144 + -7W + -1W2 = 0 + W2 + -1W2 144 + -7W + -1W2 = W2 + -1W2 Combine like terms: W2 + -1W2 = 0 144 + -7W + -1W2 = 0 Factor a trinomial. (9 + -1W)(16 + W) = 0Subproblem 1
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 = 9Subproblem 2
Set the factor '(16 + W)' equal to zero and attempt to solve: Simplifying 16 + W = 0 Solving 16 + W = 0 Move all terms containing W to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + W = 0 + -16 Combine like terms: 16 + -16 = 0 0 + W = 0 + -16 W = 0 + -16 Combine like terms: 0 + -16 = -16 W = -16 Simplifying W = -16Solution
W = {9, -16}
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