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Simplifying -12w = 4w2 + 9 Reorder the terms: -12w = 9 + 4w2 Solving -12w = 9 + 4w2 Solving for variable 'w'. Reorder the terms: -9 + -12w + -4w2 = 9 + 4w2 + -9 + -4w2 Reorder the terms: -9 + -12w + -4w2 = 9 + -9 + 4w2 + -4w2 Combine like terms: 9 + -9 = 0 -9 + -12w + -4w2 = 0 + 4w2 + -4w2 -9 + -12w + -4w2 = 4w2 + -4w2 Combine like terms: 4w2 + -4w2 = 0 -9 + -12w + -4w2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(9 + 12w + 4w2) = 0 Factor a trinomial. -1((3 + 2w)(3 + 2w)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(3 + 2w)' equal to zero and attempt to solve: Simplifying 3 + 2w = 0 Solving 3 + 2w = 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 + 2w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2w = 0 + -3 2w = 0 + -3 Combine like terms: 0 + -3 = -3 2w = -3 Divide each side by '2'. w = -1.5 Simplifying w = -1.5Subproblem 2
Set the factor '(3 + 2w)' equal to zero and attempt to solve: Simplifying 3 + 2w = 0 Solving 3 + 2w = 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 + 2w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2w = 0 + -3 2w = 0 + -3 Combine like terms: 0 + -3 = -3 2w = -3 Divide each side by '2'. w = -1.5 Simplifying w = -1.5Solution
w = {-1.5, -1.5}
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