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Simplifying (w)(2w + 3) = 44 Reorder the terms: w(3 + 2w) = 44 (3 * w + 2w * w) = 44 (3w + 2w2) = 44 Solving 3w + 2w2 = 44 Solving for variable 'w'. Reorder the terms: -44 + 3w + 2w2 = 44 + -44 Combine like terms: 44 + -44 = 0 -44 + 3w + 2w2 = 0 Factor a trinomial. (-11 + -2w)(4 + -1w) = 0Subproblem 1
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 = -5.5Subproblem 2
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 = 4Solution
w = {-5.5, 4}
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