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Simplifying 6w2 = 3w Solving 6w2 = 3w Solving for variable 'w'. Reorder the terms: -3w + 6w2 = 3w + -3w Combine like terms: 3w + -3w = 0 -3w + 6w2 = 0 Factor out the Greatest Common Factor (GCF), '3w'. 3w(-1 + 2w) = 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 '(-1 + 2w)' equal to zero and attempt to solve: Simplifying -1 + 2w = 0 Solving -1 + 2w = 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 + 2w = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2w = 0 + 1 2w = 0 + 1 Combine like terms: 0 + 1 = 1 2w = 1 Divide each side by '2'. w = 0.5 Simplifying w = 0.5Solution
w = {0, 0.5}
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