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Simplifying 12w2 + -4w = 0 Reorder the terms: -4w + 12w2 = 0 Solving -4w + 12w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '4w'. 4w(-1 + 3w) = 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 '(-1 + 3w)' equal to zero and attempt to solve: Simplifying -1 + 3w = 0 Solving -1 + 3w = 0 Move all terms containing w to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3w = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3w = 0 + 1 3w = 0 + 1 Combine like terms: 0 + 1 = 1 3w = 1 Divide each side by '3'. w = 0.3333333333 Simplifying w = 0.3333333333Solution
w = {0, 0.3333333333}
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