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Simplifying w(2w + -5) = 432 Reorder the terms: w(-5 + 2w) = 432 (-5 * w + 2w * w) = 432 (-5w + 2w2) = 432 Solving -5w + 2w2 = 432 Solving for variable 'w'. Reorder the terms: -432 + -5w + 2w2 = 432 + -432 Combine like terms: 432 + -432 = 0 -432 + -5w + 2w2 = 0 Factor a trinomial. (-27 + -2w)(16 + -1w) = 0Subproblem 1
Set the factor '(-27 + -2w)' equal to zero and attempt to solve: Simplifying -27 + -2w = 0 Solving -27 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -2w = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -2w = 0 + 27 -2w = 0 + 27 Combine like terms: 0 + 27 = 27 -2w = 27 Divide each side by '-2'. w = -13.5 Simplifying w = -13.5Subproblem 2
Set the factor '(16 + -1w)' equal to zero and attempt to solve: Simplifying 16 + -1w = 0 Solving 16 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1w = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1w = 0 + -16 -1w = 0 + -16 Combine like terms: 0 + -16 = -16 -1w = -16 Divide each side by '-1'. w = 16 Simplifying w = 16Solution
w = {-13.5, 16}
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