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Simplifying (w + 6) * w = 160 Reorder the terms: (6 + w) * w = 160 Reorder the terms for easier multiplication: w(6 + w) = 160 (6 * w + w * w) = 160 (6w + w2) = 160 Solving 6w + w2 = 160 Solving for variable 'w'. Reorder the terms: -160 + 6w + w2 = 160 + -160 Combine like terms: 160 + -160 = 0 -160 + 6w + w2 = 0 Factor a trinomial. (-16 + -1w)(10 + -1w) = 0Subproblem 1
Set the factor '(-16 + -1w)' equal to zero and attempt to solve: Simplifying -16 + -1w = 0 Solving -16 + -1w = 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 + -1w = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1w = 0 + 16 -1w = 0 + 16 Combine like terms: 0 + 16 = 16 -1w = 16 Divide each side by '-1'. w = -16 Simplifying w = -16Subproblem 2
Set the factor '(10 + -1w)' equal to zero and attempt to solve: Simplifying 10 + -1w = 0 Solving 10 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1w = 0 + -10 -1w = 0 + -10 Combine like terms: 0 + -10 = -10 -1w = -10 Divide each side by '-1'. w = 10 Simplifying w = 10Solution
w = {-16, 10}
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