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Simplifying 1200 = 4w2 + 20w Reorder the terms: 1200 = 20w + 4w2 Solving 1200 = 20w + 4w2 Solving for variable 'w'. Reorder the terms: 1200 + -20w + -4w2 = 20w + -20w + 4w2 + -4w2 Combine like terms: 20w + -20w = 0 1200 + -20w + -4w2 = 0 + 4w2 + -4w2 1200 + -20w + -4w2 = 4w2 + -4w2 Combine like terms: 4w2 + -4w2 = 0 1200 + -20w + -4w2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(300 + -5w + -1w2) = 0 Factor a trinomial. 4((15 + -1w)(20 + w)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(15 + -1w)' equal to zero and attempt to solve: Simplifying 15 + -1w = 0 Solving 15 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1w = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1w = 0 + -15 -1w = 0 + -15 Combine like terms: 0 + -15 = -15 -1w = -15 Divide each side by '-1'. w = 15 Simplifying w = 15Subproblem 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 = {15, -20}
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