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Simplifying (22 + -1w)(w) = 120 Reorder the terms for easier multiplication: w(22 + -1w) = 120 (22 * w + -1w * w) = 120 (22w + -1w2) = 120 Solving 22w + -1w2 = 120 Solving for variable 'w'. Reorder the terms: -120 + 22w + -1w2 = 120 + -120 Combine like terms: 120 + -120 = 0 -120 + 22w + -1w2 = 0 Factor a trinomial. (-12 + w)(10 + -1w) = 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 '(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 = {12, 10}
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