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Simplifying 26w2 + 52w = 9360 Reorder the terms: 52w + 26w2 = 9360 Solving 52w + 26w2 = 9360 Solving for variable 'w'. Reorder the terms: -9360 + 52w + 26w2 = 9360 + -9360 Combine like terms: 9360 + -9360 = 0 -9360 + 52w + 26w2 = 0 Factor out the Greatest Common Factor (GCF), '26'. 26(-360 + 2w + w2) = 0 Factor a trinomial. 26((-20 + -1w)(18 + -1w)) = 0 Ignore the factor 26.Subproblem 1
Set the factor '(-20 + -1w)' equal to zero and attempt to solve: Simplifying -20 + -1w = 0 Solving -20 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1w = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1w = 0 + 20 -1w = 0 + 20 Combine like terms: 0 + 20 = 20 -1w = 20 Divide each side by '-1'. w = -20 Simplifying w = -20Subproblem 2
Set the factor '(18 + -1w)' equal to zero and attempt to solve: Simplifying 18 + -1w = 0 Solving 18 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1w = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1w = 0 + -18 -1w = 0 + -18 Combine like terms: 0 + -18 = -18 -1w = -18 Divide each side by '-1'. w = 18 Simplifying w = 18Solution
w = {-20, 18}
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