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Simplifying 44 = w(2w + 3) Reorder the terms: 44 = w(3 + 2w) 44 = (3 * w + 2w * w) 44 = (3w + 2w2) Solving 44 = 3w + 2w2 Solving for variable 'w'. Reorder the terms: 44 + -3w + -2w2 = 3w + -3w + 2w2 + -2w2 Combine like terms: 3w + -3w = 0 44 + -3w + -2w2 = 0 + 2w2 + -2w2 44 + -3w + -2w2 = 2w2 + -2w2 Combine like terms: 2w2 + -2w2 = 0 44 + -3w + -2w2 = 0 Factor a trinomial. (4 + -1w)(11 + 2w) = 0Subproblem 1
Set the factor '(4 + -1w)' equal to zero and attempt to solve: Simplifying 4 + -1w = 0 Solving 4 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1w = 0 + -4 -1w = 0 + -4 Combine like terms: 0 + -4 = -4 -1w = -4 Divide each side by '-1'. w = 4 Simplifying w = 4Subproblem 2
Set the factor '(11 + 2w)' equal to zero and attempt to solve: Simplifying 11 + 2w = 0 Solving 11 + 2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2w = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2w = 0 + -11 2w = 0 + -11 Combine like terms: 0 + -11 = -11 2w = -11 Divide each side by '2'. w = -5.5 Simplifying w = -5.5Solution
w = {4, -5.5}
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