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Simplifying w2 = 4w2 + -15w Reorder the terms: w2 = -15w + 4w2 Solving w2 = -15w + 4w2 Solving for variable 'w'. Reorder the terms: 15w + w2 + -4w2 = -15w + 4w2 + 15w + -4w2 Combine like terms: w2 + -4w2 = -3w2 15w + -3w2 = -15w + 4w2 + 15w + -4w2 Reorder the terms: 15w + -3w2 = -15w + 15w + 4w2 + -4w2 Combine like terms: -15w + 15w = 0 15w + -3w2 = 0 + 4w2 + -4w2 15w + -3w2 = 4w2 + -4w2 Combine like terms: 4w2 + -4w2 = 0 15w + -3w2 = 0 Factor out the Greatest Common Factor (GCF), '3w'. 3w(5 + -1w) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'w' equal to zero and attempt to solve: Simplifying w = 0 Solving w = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w = 0Subproblem 2
Set the factor '(5 + -1w)' equal to zero and attempt to solve: Simplifying 5 + -1w = 0 Solving 5 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1w = 0 + -5 -1w = 0 + -5 Combine like terms: 0 + -5 = -5 -1w = -5 Divide each side by '-1'. w = 5 Simplifying w = 5Solution
w = {0, 5}
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