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Simplifying -2w2 + -9w = 10 Reorder the terms: -9w + -2w2 = 10 Solving -9w + -2w2 = 10 Solving for variable 'w'. Reorder the terms: -10 + -9w + -2w2 = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + -9w + -2w2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(10 + 9w + 2w2) = 0 Factor a trinomial. -1((5 + 2w)(2 + w)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(5 + 2w)' equal to zero and attempt to solve: Simplifying 5 + 2w = 0 Solving 5 + 2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2w = 0 + -5 2w = 0 + -5 Combine like terms: 0 + -5 = -5 2w = -5 Divide each side by '2'. w = -2.5 Simplifying w = -2.5Subproblem 2
Set the factor '(2 + w)' equal to zero and attempt to solve: Simplifying 2 + w = 0 Solving 2 + w = 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 + w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + w = 0 + -2 w = 0 + -2 Combine like terms: 0 + -2 = -2 w = -2 Simplifying w = -2Solution
w = {-2.5, -2}
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