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Simplifying 264 = (10 + w) * w Reorder the terms for easier multiplication: 264 = w(10 + w) 264 = (10 * w + w * w) 264 = (10w + w2) Solving 264 = 10w + w2 Solving for variable 'w'. Reorder the terms: 264 + -10w + -1w2 = 10w + -10w + w2 + -1w2 Combine like terms: 10w + -10w = 0 264 + -10w + -1w2 = 0 + w2 + -1w2 264 + -10w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 264 + -10w + -1w2 = 0 Factor a trinomial. (12 + -1w)(22 + w) = 0Subproblem 1
Set the factor '(12 + -1w)' equal to zero and attempt to solve: Simplifying 12 + -1w = 0 Solving 12 + -1w = 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 + -1w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1w = 0 + -12 -1w = 0 + -12 Combine like terms: 0 + -12 = -12 -1w = -12 Divide each side by '-1'. w = 12 Simplifying w = 12Subproblem 2
Set the factor '(22 + w)' equal to zero and attempt to solve: Simplifying 22 + w = 0 Solving 22 + w = 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 + w = 0 + -22 Combine like terms: 22 + -22 = 0 0 + w = 0 + -22 w = 0 + -22 Combine like terms: 0 + -22 = -22 w = -22 Simplifying w = -22Solution
w = {12, -22}
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