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Simplifying 1440 = 3w2 + -12w Reorder the terms: 1440 = -12w + 3w2 Solving 1440 = -12w + 3w2 Solving for variable 'w'. Reorder the terms: 1440 + 12w + -3w2 = -12w + 12w + 3w2 + -3w2 Combine like terms: -12w + 12w = 0 1440 + 12w + -3w2 = 0 + 3w2 + -3w2 1440 + 12w + -3w2 = 3w2 + -3w2 Combine like terms: 3w2 + -3w2 = 0 1440 + 12w + -3w2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(480 + 4w + -1w2) = 0 Factor a trinomial. 3((24 + -1w)(20 + w)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(24 + -1w)' equal to zero and attempt to solve: Simplifying 24 + -1w = 0 Solving 24 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1w = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1w = 0 + -24 -1w = 0 + -24 Combine like terms: 0 + -24 = -24 -1w = -24 Divide each side by '-1'. w = 24 Simplifying w = 24Subproblem 2
Set the factor '(20 + w)' equal to zero and attempt to solve: Simplifying 20 + w = 0 Solving 20 + w = 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 + w = 0 + -20 Combine like terms: 20 + -20 = 0 0 + w = 0 + -20 w = 0 + -20 Combine like terms: 0 + -20 = -20 w = -20 Simplifying w = -20Solution
w = {24, -20}
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