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Simplifying (5w + -17)(w) = 40 Reorder the terms: (-17 + 5w)(w) = 40 Reorder the terms for easier multiplication: w(-17 + 5w) = 40 (-17 * w + 5w * w) = 40 (-17w + 5w2) = 40 Solving -17w + 5w2 = 40 Solving for variable 'w'. Reorder the terms: -40 + -17w + 5w2 = 40 + -40 Combine like terms: 40 + -40 = 0 -40 + -17w + 5w2 = 0 Factor a trinomial. (-8 + -5w)(5 + -1w) = 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 + -1w)' equal to zero and attempt to solve: Simplifying 5 + -1w = 0 Solving 5 + -1w = 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 + -1w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1w = 0 + -5 -1w = 0 + -5 Combine like terms: 0 + -5 = -5 -1w = -5 Divide each side by '-1'. w = 5 Simplifying w = 5Solution
w = {-1.6, 5}
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