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Simplifying w(3w + -2) = 65 Reorder the terms: w(-2 + 3w) = 65 (-2 * w + 3w * w) = 65 (-2w + 3w2) = 65 Solving -2w + 3w2 = 65 Solving for variable 'w'. Reorder the terms: -65 + -2w + 3w2 = 65 + -65 Combine like terms: 65 + -65 = 0 -65 + -2w + 3w2 = 0 Factor a trinomial. (-13 + -3w)(5 + -1w) = 0Subproblem 1
Set the factor '(-13 + -3w)' equal to zero and attempt to solve: Simplifying -13 + -3w = 0 Solving -13 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -3w = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -3w = 0 + 13 -3w = 0 + 13 Combine like terms: 0 + 13 = 13 -3w = 13 Divide each side by '-3'. w = -4.333333333 Simplifying w = -4.333333333Subproblem 2
Set the factor '(5 + -1w)' equal to zero and attempt to solve: Simplifying 5 + -1w = 0 Solving 5 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1w = 0 + -5 -1w = 0 + -5 Combine like terms: 0 + -5 = -5 -1w = -5 Divide each side by '-1'. w = 5 Simplifying w = 5Solution
w = {-4.333333333, 5}
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