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Simplifying 4w2 + -1w + -60 = 0 Reorder the terms: -60 + -1w + 4w2 = 0 Solving -60 + -1w + 4w2 = 0 Solving for variable 'w'. Factor a trinomial. (-15 + -4w)(4 + -1w) = 0Subproblem 1
Set the factor '(-15 + -4w)' equal to zero and attempt to solve: Simplifying -15 + -4w = 0 Solving -15 + -4w = 0 Move all terms containing w to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -4w = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -4w = 0 + 15 -4w = 0 + 15 Combine like terms: 0 + 15 = 15 -4w = 15 Divide each side by '-4'. w = -3.75 Simplifying w = -3.75Subproblem 2
Set the factor '(4 + -1w)' equal to zero and attempt to solve: Simplifying 4 + -1w = 0 Solving 4 + -1w = 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 + -1w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1w = 0 + -4 -1w = 0 + -4 Combine like terms: 0 + -4 = -4 -1w = -4 Divide each side by '-1'. w = 4 Simplifying w = 4Solution
w = {-3.75, 4}
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