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Simplifying w[66 + (-1w)] = 1080 [66 * w + (-1w) * w] = 1080 [66w + -1w2] = 1080 Solving 66w + -1w2 = 1080 Solving for variable 'w'. Reorder the terms: -1080 + 66w + -1w2 = 1080 + -1080 Combine like terms: 1080 + -1080 = 0 -1080 + 66w + -1w2 = 0 Factor a trinomial. (-36 + w)(30 + -1w) = 0Subproblem 1
Set the factor '(-36 + w)' equal to zero and attempt to solve: Simplifying -36 + w = 0 Solving -36 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + w = 0 + 36 Combine like terms: -36 + 36 = 0 0 + w = 0 + 36 w = 0 + 36 Combine like terms: 0 + 36 = 36 w = 36 Simplifying w = 36Subproblem 2
Set the factor '(30 + -1w)' equal to zero and attempt to solve: Simplifying 30 + -1w = 0 Solving 30 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1w = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1w = 0 + -30 -1w = 0 + -30 Combine like terms: 0 + -30 = -30 -1w = -30 Divide each side by '-1'. w = 30 Simplifying w = 30Solution
w = {36, 30}
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