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Simplifying (5w + 9)(w + -3) = -9w + -25 Reorder the terms: (9 + 5w)(w + -3) = -9w + -25 Reorder the terms: (9 + 5w)(-3 + w) = -9w + -25 Multiply (9 + 5w) * (-3 + w) (9(-3 + w) + 5w * (-3 + w)) = -9w + -25 ((-3 * 9 + w * 9) + 5w * (-3 + w)) = -9w + -25 ((-27 + 9w) + 5w * (-3 + w)) = -9w + -25 (-27 + 9w + (-3 * 5w + w * 5w)) = -9w + -25 (-27 + 9w + (-15w + 5w2)) = -9w + -25 Combine like terms: 9w + -15w = -6w (-27 + -6w + 5w2) = -9w + -25 Reorder the terms: -27 + -6w + 5w2 = -25 + -9w Solving -27 + -6w + 5w2 = -25 + -9w Solving for variable 'w'. Reorder the terms: -27 + 25 + -6w + 9w + 5w2 = -25 + -9w + 25 + 9w Combine like terms: -27 + 25 = -2 -2 + -6w + 9w + 5w2 = -25 + -9w + 25 + 9w Combine like terms: -6w + 9w = 3w -2 + 3w + 5w2 = -25 + -9w + 25 + 9w Reorder the terms: -2 + 3w + 5w2 = -25 + 25 + -9w + 9w Combine like terms: -25 + 25 = 0 -2 + 3w + 5w2 = 0 + -9w + 9w -2 + 3w + 5w2 = -9w + 9w Combine like terms: -9w + 9w = 0 -2 + 3w + 5w2 = 0 Factor a trinomial. (-1 + -1w)(2 + -5w) = 0Subproblem 1
Set the factor '(-1 + -1w)' equal to zero and attempt to solve: Simplifying -1 + -1w = 0 Solving -1 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1w = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1w = 0 + 1 -1w = 0 + 1 Combine like terms: 0 + 1 = 1 -1w = 1 Divide each side by '-1'. w = -1 Simplifying w = -1Subproblem 2
Set the factor '(2 + -5w)' equal to zero and attempt to solve: Simplifying 2 + -5w = 0 Solving 2 + -5w = 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 + -5w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5w = 0 + -2 -5w = 0 + -2 Combine like terms: 0 + -2 = -2 -5w = -2 Divide each side by '-5'. w = 0.4 Simplifying w = 0.4Solution
w = {-1, 0.4}
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