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Simplifying 10w2 + -15w = 0 Reorder the terms: -15w + 10w2 = 0 Solving -15w + 10w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '5w'. 5w(-3 + 2w) = 0 Ignore the factor 5.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 '(-3 + 2w)' equal to zero and attempt to solve: Simplifying -3 + 2w = 0 Solving -3 + 2w = 0 Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2w = 0 + 3 2w = 0 + 3 Combine like terms: 0 + 3 = 3 2w = 3 Divide each side by '2'. w = 1.5 Simplifying w = 1.5Solution
w = {0, 1.5}
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