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Simplifying 2w2 + 18 = 12w Reorder the terms: 18 + 2w2 = 12w Solving 18 + 2w2 = 12w Solving for variable 'w'. Reorder the terms: 18 + -12w + 2w2 = 12w + -12w Combine like terms: 12w + -12w = 0 18 + -12w + 2w2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(9 + -6w + w2) = 0 Factor a trinomial. 2((3 + -1w)(3 + -1w)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -1w)' equal to zero and attempt to solve: Simplifying 3 + -1w = 0 Solving 3 + -1w = 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 + -1w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1w = 0 + -3 -1w = 0 + -3 Combine like terms: 0 + -3 = -3 -1w = -3 Divide each side by '-1'. w = 3 Simplifying w = 3Subproblem 2
Set the factor '(3 + -1w)' equal to zero and attempt to solve: Simplifying 3 + -1w = 0 Solving 3 + -1w = 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 + -1w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1w = 0 + -3 -1w = 0 + -3 Combine like terms: 0 + -3 = -3 -1w = -3 Divide each side by '-1'. w = 3 Simplifying w = 3Solution
w = {3, 3}
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