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Simplifying 3w + -5w * w = w(w + -9) Multiply w * w 3w + -5w2 = w(w + -9) Reorder the terms: 3w + -5w2 = w(-9 + w) 3w + -5w2 = (-9 * w + w * w) 3w + -5w2 = (-9w + w2) Solving 3w + -5w2 = -9w + w2 Solving for variable 'w'. Reorder the terms: 3w + 9w + -5w2 + -1w2 = -9w + w2 + 9w + -1w2 Combine like terms: 3w + 9w = 12w 12w + -5w2 + -1w2 = -9w + w2 + 9w + -1w2 Combine like terms: -5w2 + -1w2 = -6w2 12w + -6w2 = -9w + w2 + 9w + -1w2 Reorder the terms: 12w + -6w2 = -9w + 9w + w2 + -1w2 Combine like terms: -9w + 9w = 0 12w + -6w2 = 0 + w2 + -1w2 12w + -6w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 12w + -6w2 = 0 Factor out the Greatest Common Factor (GCF), '6w'. 6w(2 + -1w) = 0 Ignore the factor 6.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 '(2 + -1w)' equal to zero and attempt to solve: Simplifying 2 + -1w = 0 Solving 2 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1w = 0 + -2 -1w = 0 + -2 Combine like terms: 0 + -2 = -2 -1w = -2 Divide each side by '-1'. w = 2 Simplifying w = 2Solution
w = {0, 2}
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