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Simplifying 24w2 + 48w = 2880 Reorder the terms: 48w + 24w2 = 2880 Solving 48w + 24w2 = 2880 Solving for variable 'w'. Reorder the terms: -2880 + 48w + 24w2 = 2880 + -2880 Combine like terms: 2880 + -2880 = 0 -2880 + 48w + 24w2 = 0 Factor out the Greatest Common Factor (GCF), '24'. 24(-120 + 2w + w2) = 0 Factor a trinomial. 24((-12 + -1w)(10 + -1w)) = 0 Ignore the factor 24.Subproblem 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 '(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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