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Simplifying -1w2(w + -15) = 0 Reorder the terms: -1w2(-15 + w) = 0 (-15 * -1w2 + w * -1w2) = 0 (15w2 + -1w3) = 0 Solving 15w2 + -1w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w2'. w2(15 + -1w) = 0Subproblem 1
Set the factor 'w2' equal to zero and attempt to solve: Simplifying w2 = 0 Solving w2 = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w2 = 0 Take the square root of each side: w = {0}Subproblem 2
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 = 15Solution
w = {0, 15}
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