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Simplifying 3w2 + -6w = 12w Reorder the terms: -6w + 3w2 = 12w Solving -6w + 3w2 = 12w Solving for variable 'w'. Reorder the terms: -6w + -12w + 3w2 = 12w + -12w Combine like terms: -6w + -12w = -18w -18w + 3w2 = 12w + -12w Combine like terms: 12w + -12w = 0 -18w + 3w2 = 0 Factor out the Greatest Common Factor (GCF), '3w'. 3w(-6 + w) = 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 '(-6 + w)' equal to zero and attempt to solve: Simplifying -6 + w = 0 Solving -6 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + w = 0 + 6 Combine like terms: -6 + 6 = 0 0 + w = 0 + 6 w = 0 + 6 Combine like terms: 0 + 6 = 6 w = 6 Simplifying w = 6Solution
w = {0, 6}
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