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Simplifying 560 = (2w + 3)(w) Reorder the terms: 560 = (3 + 2w)(w) Reorder the terms for easier multiplication: 560 = w(3 + 2w) 560 = (3 * w + 2w * w) 560 = (3w + 2w2) Solving 560 = 3w + 2w2 Solving for variable 'w'. Reorder the terms: 560 + -3w + -2w2 = 3w + -3w + 2w2 + -2w2 Combine like terms: 3w + -3w = 0 560 + -3w + -2w2 = 0 + 2w2 + -2w2 560 + -3w + -2w2 = 2w2 + -2w2 Combine like terms: 2w2 + -2w2 = 0 560 + -3w + -2w2 = 0 Factor a trinomial. (16 + -1w)(35 + 2w) = 0Subproblem 1
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 = 16Subproblem 2
Set the factor '(35 + 2w)' equal to zero and attempt to solve: Simplifying 35 + 2w = 0 Solving 35 + 2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 2w = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 2w = 0 + -35 2w = 0 + -35 Combine like terms: 0 + -35 = -35 2w = -35 Divide each side by '2'. w = -17.5 Simplifying w = -17.5Solution
w = {16, -17.5}
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