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Simplifying 2w2 + 8w = 280 Reorder the terms: 8w + 2w2 = 280 Solving 8w + 2w2 = 280 Solving for variable 'w'. Reorder the terms: -280 + 8w + 2w2 = 280 + -280 Combine like terms: 280 + -280 = 0 -280 + 8w + 2w2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-140 + 4w + w2) = 0 Factor a trinomial. 2((-14 + -1w)(10 + -1w)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-14 + -1w)' equal to zero and attempt to solve: Simplifying -14 + -1w = 0 Solving -14 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1w = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1w = 0 + 14 -1w = 0 + 14 Combine like terms: 0 + 14 = 14 -1w = 14 Divide each side by '-1'. w = -14 Simplifying w = -14Subproblem 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 = {-14, 10}
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