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Simplifying -9w + -4 = 5w2 Reorder the terms: -4 + -9w = 5w2 Solving -4 + -9w = 5w2 Solving for variable 'w'. Combine like terms: 5w2 + -5w2 = 0 -4 + -9w + -5w2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(4 + 9w + 5w2) = 0 Factor a trinomial. -1((1 + w)(4 + 5w)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1 + w)' equal to zero and attempt to solve: Simplifying 1 + w = 0 Solving 1 + w = 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 + w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + w = 0 + -1 w = 0 + -1 Combine like terms: 0 + -1 = -1 w = -1 Simplifying w = -1Subproblem 2
Set the factor '(4 + 5w)' equal to zero and attempt to solve: Simplifying 4 + 5w = 0 Solving 4 + 5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5w = 0 + -4 5w = 0 + -4 Combine like terms: 0 + -4 = -4 5w = -4 Divide each side by '5'. w = -0.8 Simplifying w = -0.8Solution
w = {-1, -0.8}
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