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Simplifying w(2w + -3) = 464 Reorder the terms: w(-3 + 2w) = 464 (-3 * w + 2w * w) = 464 (-3w + 2w2) = 464 Solving -3w + 2w2 = 464 Solving for variable 'w'. Reorder the terms: -464 + -3w + 2w2 = 464 + -464 Combine like terms: 464 + -464 = 0 -464 + -3w + 2w2 = 0 Factor a trinomial. (-29 + -2w)(16 + -1w) = 0Subproblem 1
Set the factor '(-29 + -2w)' equal to zero and attempt to solve: Simplifying -29 + -2w = 0 Solving -29 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -2w = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -2w = 0 + 29 -2w = 0 + 29 Combine like terms: 0 + 29 = 29 -2w = 29 Divide each side by '-2'. w = -14.5 Simplifying w = -14.5Subproblem 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 = {-14.5, 16}
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