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Simplifying 6w2 = 24w Solving 6w2 = 24w Solving for variable 'w'. Reorder the terms: -24w + 6w2 = 24w + -24w Combine like terms: 24w + -24w = 0 -24w + 6w2 = 0 Factor out the Greatest Common Factor (GCF), '6w'. 6w(-4 + w) = 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 '(-4 + w)' equal to zero and attempt to solve: Simplifying -4 + w = 0 Solving -4 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + w = 0 + 4 Combine like terms: -4 + 4 = 0 0 + w = 0 + 4 w = 0 + 4 Combine like terms: 0 + 4 = 4 w = 4 Simplifying w = 4Solution
w = {0, 4}
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