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Simplifying 45w2 + 4w + -32 = 0 Reorder the terms: -32 + 4w + 45w2 = 0 Solving -32 + 4w + 45w2 = 0 Solving for variable 'w'. Factor a trinomial. (-8 + -9w)(4 + -5w) = 0Subproblem 1
Set the factor '(-8 + -9w)' equal to zero and attempt to solve: Simplifying -8 + -9w = 0 Solving -8 + -9w = 0 Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -9w = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -9w = 0 + 8 -9w = 0 + 8 Combine like terms: 0 + 8 = 8 -9w = 8 Divide each side by '-9'. w = -0.8888888889 Simplifying w = -0.8888888889Subproblem 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 = {-0.8888888889, 0.8}
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