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Simplifying 5w2 + 2w + -18120 = 0 Reorder the terms: -18120 + 2w + 5w2 = 0 Solving -18120 + 2w + 5w2 = 0 Solving for variable 'w'. Factor a trinomial. (-302 + -5w)(60 + -1w) = 0Subproblem 1
Set the factor '(-302 + -5w)' equal to zero and attempt to solve: Simplifying -302 + -5w = 0 Solving -302 + -5w = 0 Move all terms containing w to the left, all other terms to the right. Add '302' to each side of the equation. -302 + 302 + -5w = 0 + 302 Combine like terms: -302 + 302 = 0 0 + -5w = 0 + 302 -5w = 0 + 302 Combine like terms: 0 + 302 = 302 -5w = 302 Divide each side by '-5'. w = -60.4 Simplifying w = -60.4Subproblem 2
Set the factor '(60 + -1w)' equal to zero and attempt to solve: Simplifying 60 + -1w = 0 Solving 60 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -1w = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -1w = 0 + -60 -1w = 0 + -60 Combine like terms: 0 + -60 = -60 -1w = -60 Divide each side by '-1'. w = 60 Simplifying w = 60Solution
w = {-60.4, 60}
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