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Simplifying 5w2 + -17w + -12 = 0 Reorder the terms: -12 + -17w + 5w2 = 0 Solving -12 + -17w + 5w2 = 0 Solving for variable 'w'. Factor a trinomial. (-3 + -5w)(4 + -1w) = 0Subproblem 1
Set the factor '(-3 + -5w)' equal to zero and attempt to solve: Simplifying -3 + -5w = 0 Solving -3 + -5w = 0 Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5w = 0 + 3 -5w = 0 + 3 Combine like terms: 0 + 3 = 3 -5w = 3 Divide each side by '-5'. w = -0.6 Simplifying w = -0.6Subproblem 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 = {-0.6, 4}
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