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Simplifying (5w + -1) * w = 18 Reorder the terms: (-1 + 5w) * w = 18 Reorder the terms for easier multiplication: w(-1 + 5w) = 18 (-1 * w + 5w * w) = 18 (-1w + 5w2) = 18 Solving -1w + 5w2 = 18 Solving for variable 'w'. Reorder the terms: -18 + -1w + 5w2 = 18 + -18 Combine like terms: 18 + -18 = 0 -18 + -1w + 5w2 = 0 Factor a trinomial. (-9 + -5w)(2 + -1w) = 0Subproblem 1
Set the factor '(-9 + -5w)' equal to zero and attempt to solve: Simplifying -9 + -5w = 0 Solving -9 + -5w = 0 Move all terms containing w to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -5w = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -5w = 0 + 9 -5w = 0 + 9 Combine like terms: 0 + 9 = 9 -5w = 9 Divide each side by '-5'. w = -1.8 Simplifying w = -1.8Subproblem 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 = {-1.8, 2}
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