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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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