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Simplifying 10w2 + -24w = 0 Reorder the terms: -24w + 10w2 = 0 Solving -24w + 10w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2w'. 2w(-12 + 5w) = 0 Ignore the factor 2.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 '(-12 + 5w)' equal to zero and attempt to solve: Simplifying -12 + 5w = 0 Solving -12 + 5w = 0 Move all terms containing w to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 5w = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 5w = 0 + 12 5w = 0 + 12 Combine like terms: 0 + 12 = 12 5w = 12 Divide each side by '5'. w = 2.4 Simplifying w = 2.4Solution
w = {0, 2.4}
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