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Simplifying 2w2 + -14w = 36 Reorder the terms: -14w + 2w2 = 36 Solving -14w + 2w2 = 36 Solving for variable 'w'. Reorder the terms: -36 + -14w + 2w2 = 36 + -36 Combine like terms: 36 + -36 = 0 -36 + -14w + 2w2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-18 + -7w + w2) = 0 Factor a trinomial. 2((-2 + -1w)(9 + -1w)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -1w)' equal to zero and attempt to solve: Simplifying -2 + -1w = 0 Solving -2 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1w = 0 + 2 -1w = 0 + 2 Combine like terms: 0 + 2 = 2 -1w = 2 Divide each side by '-1'. w = -2 Simplifying w = -2Subproblem 2
Set the factor '(9 + -1w)' equal to zero and attempt to solve: Simplifying 9 + -1w = 0 Solving 9 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1w = 0 + -9 -1w = 0 + -9 Combine like terms: 0 + -9 = -9 -1w = -9 Divide each side by '-1'. w = 9 Simplifying w = 9Solution
w = {-2, 9}
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