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Simplifying (5w + -4) * w = 57 Reorder the terms: (-4 + 5w) * w = 57 Reorder the terms for easier multiplication: w(-4 + 5w) = 57 (-4 * w + 5w * w) = 57 (-4w + 5w2) = 57 Solving -4w + 5w2 = 57 Solving for variable 'w'. Reorder the terms: -57 + -4w + 5w2 = 57 + -57 Combine like terms: 57 + -57 = 0 -57 + -4w + 5w2 = 0 Factor a trinomial. (-3 + -1w)(19 + -5w) = 0Subproblem 1
Set the factor '(-3 + -1w)' equal to zero and attempt to solve: Simplifying -3 + -1w = 0 Solving -3 + -1w = 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 + -1w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1w = 0 + 3 -1w = 0 + 3 Combine like terms: 0 + 3 = 3 -1w = 3 Divide each side by '-1'. w = -3 Simplifying w = -3Subproblem 2
Set the factor '(19 + -5w)' equal to zero and attempt to solve: Simplifying 19 + -5w = 0 Solving 19 + -5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -5w = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -5w = 0 + -19 -5w = 0 + -19 Combine like terms: 0 + -19 = -19 -5w = -19 Divide each side by '-5'. w = 3.8 Simplifying w = 3.8Solution
w = {-3, 3.8}
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