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Simplifying (10 + w) * w = 144 Reorder the terms for easier multiplication: w(10 + w) = 144 (10 * w + w * w) = 144 (10w + w2) = 144 Solving 10w + w2 = 144 Solving for variable 'w'. Reorder the terms: -144 + 10w + w2 = 144 + -144 Combine like terms: 144 + -144 = 0 -144 + 10w + w2 = 0 Factor a trinomial. (-18 + -1w)(8 + -1w) = 0Subproblem 1
Set the factor '(-18 + -1w)' equal to zero and attempt to solve: Simplifying -18 + -1w = 0 Solving -18 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1w = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1w = 0 + 18 -1w = 0 + 18 Combine like terms: 0 + 18 = 18 -1w = 18 Divide each side by '-1'. w = -18 Simplifying w = -18Subproblem 2
Set the factor '(8 + -1w)' equal to zero and attempt to solve: Simplifying 8 + -1w = 0 Solving 8 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1w = 0 + -8 -1w = 0 + -8 Combine like terms: 0 + -8 = -8 -1w = -8 Divide each side by '-1'. w = 8 Simplifying w = 8Solution
w = {-18, 8}
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