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Simplifying 5w2 + -17w = -14 Reorder the terms: -17w + 5w2 = -14 Solving -17w + 5w2 = -14 Solving for variable 'w'. Reorder the terms: 14 + -17w + 5w2 = -14 + 14 Combine like terms: -14 + 14 = 0 14 + -17w + 5w2 = 0 Factor a trinomial. (7 + -5w)(2 + -1w) = 0Subproblem 1
Set the factor '(7 + -5w)' equal to zero and attempt to solve: Simplifying 7 + -5w = 0 Solving 7 + -5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5w = 0 + -7 -5w = 0 + -7 Combine like terms: 0 + -7 = -7 -5w = -7 Divide each side by '-5'. w = 1.4 Simplifying w = 1.4Subproblem 2
Set the factor '(2 + -1w)' equal to zero and attempt to solve: Simplifying 2 + -1w = 0 Solving 2 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1w = 0 + -2 -1w = 0 + -2 Combine like terms: 0 + -2 = -2 -1w = -2 Divide each side by '-1'. w = 2 Simplifying w = 2Solution
w = {1.4, 2}
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