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Simplifying 240 = 2w2 + 4w Reorder the terms: 240 = 4w + 2w2 Solving 240 = 4w + 2w2 Solving for variable 'w'. Reorder the terms: 240 + -4w + -2w2 = 4w + -4w + 2w2 + -2w2 Combine like terms: 4w + -4w = 0 240 + -4w + -2w2 = 0 + 2w2 + -2w2 240 + -4w + -2w2 = 2w2 + -2w2 Combine like terms: 2w2 + -2w2 = 0 240 + -4w + -2w2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(120 + -2w + -1w2) = 0 Factor a trinomial. 2((10 + -1w)(12 + w)) = 0 Ignore the factor 2.Subproblem 1
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 = 10Subproblem 2
Set the factor '(12 + w)' equal to zero and attempt to solve: Simplifying 12 + w = 0 Solving 12 + w = 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 + w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + w = 0 + -12 w = 0 + -12 Combine like terms: 0 + -12 = -12 w = -12 Simplifying w = -12Solution
w = {10, -12}
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