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Simplifying 10w2 + -9w + -40 = 0 Reorder the terms: -40 + -9w + 10w2 = 0 Solving -40 + -9w + 10w2 = 0 Solving for variable 'w'. Factor a trinomial. (-8 + -5w)(5 + -2w) = 0Subproblem 1
Set the factor '(-8 + -5w)' equal to zero and attempt to solve: Simplifying -8 + -5w = 0 Solving -8 + -5w = 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 + -5w = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5w = 0 + 8 -5w = 0 + 8 Combine like terms: 0 + 8 = 8 -5w = 8 Divide each side by '-5'. w = -1.6 Simplifying w = -1.6Subproblem 2
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 = 2.5Solution
w = {-1.6, 2.5}
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