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Simplifying 144 = 24w + -1w2 Solving 144 = 24w + -1w2 Solving for variable 'w'. Reorder the terms: 144 + -24w + w2 = 24w + -24w + -1w2 + w2 Combine like terms: 24w + -24w = 0 144 + -24w + w2 = 0 + -1w2 + w2 144 + -24w + w2 = -1w2 + w2 Combine like terms: -1w2 + w2 = 0 144 + -24w + w2 = 0 Factor a trinomial. (12 + -1w)(12 + -1w) = 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 '(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 = 12Solution
w = {12, 12}
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