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Simplifying 3w2 + 2w = 56 Reorder the terms: 2w + 3w2 = 56 Solving 2w + 3w2 = 56 Solving for variable 'w'. Reorder the terms: -56 + 2w + 3w2 = 56 + -56 Combine like terms: 56 + -56 = 0 -56 + 2w + 3w2 = 0 Factor a trinomial. (-14 + -3w)(4 + -1w) = 0Subproblem 1
Set the factor '(-14 + -3w)' equal to zero and attempt to solve: Simplifying -14 + -3w = 0 Solving -14 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -3w = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -3w = 0 + 14 -3w = 0 + 14 Combine like terms: 0 + 14 = 14 -3w = 14 Divide each side by '-3'. w = -4.666666667 Simplifying w = -4.666666667Subproblem 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 = {-4.666666667, 4}
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