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Simplifying 9w2 + -24w = 0 Reorder the terms: -24w + 9w2 = 0 Solving -24w + 9w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '3w'. 3w(-8 + 3w) = 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 '(-8 + 3w)' equal to zero and attempt to solve: Simplifying -8 + 3w = 0 Solving -8 + 3w = 0 Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3w = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3w = 0 + 8 3w = 0 + 8 Combine like terms: 0 + 8 = 8 3w = 8 Divide each side by '3'. w = 2.666666667 Simplifying w = 2.666666667Solution
w = {0, 2.666666667}
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