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Simplifying w(12 + w) = 220 (12 * w + w * w) = 220 (12w + w2) = 220 Solving 12w + w2 = 220 Solving for variable 'w'. Reorder the terms: -220 + 12w + w2 = 220 + -220 Combine like terms: 220 + -220 = 0 -220 + 12w + w2 = 0 Factor a trinomial. (-22 + -1w)(10 + -1w) = 0Subproblem 1
Set the factor '(-22 + -1w)' equal to zero and attempt to solve: Simplifying -22 + -1w = 0 Solving -22 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -1w = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -1w = 0 + 22 -1w = 0 + 22 Combine like terms: 0 + 22 = 22 -1w = 22 Divide each side by '-1'. w = -22 Simplifying w = -22Subproblem 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 = {-22, 10}
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