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Simplifying 4w2 = 12w Solving 4w2 = 12w Solving for variable 'w'. Reorder the terms: -12w + 4w2 = 12w + -12w Combine like terms: 12w + -12w = 0 -12w + 4w2 = 0 Factor out the Greatest Common Factor (GCF), '4w'. 4w(-3 + w) = 0 Ignore the factor 4.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 + w)' equal to zero and attempt to solve: Simplifying -3 + w = 0 Solving -3 + w = 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 + w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + w = 0 + 3 w = 0 + 3 Combine like terms: 0 + 3 = 3 w = 3 Simplifying w = 3Solution
w = {0, 3}
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