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Simplifying 2w2 + -4w = 160 Reorder the terms: -4w + 2w2 = 160 Solving -4w + 2w2 = 160 Solving for variable 'w'. Reorder the terms: -160 + -4w + 2w2 = 160 + -160 Combine like terms: 160 + -160 = 0 -160 + -4w + 2w2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-80 + -2w + w2) = 0 Factor a trinomial. 2((-8 + -1w)(10 + -1w)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + -1w)' equal to zero and attempt to solve: Simplifying -8 + -1w = 0 Solving -8 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1w = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1w = 0 + 8 -1w = 0 + 8 Combine like terms: 0 + 8 = 8 -1w = 8 Divide each side by '-1'. w = -8 Simplifying w = -8Subproblem 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 = {-8, 10}
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