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Simplifying 665 = (2w + -3)(w) Reorder the terms: 665 = (-3 + 2w)(w) Reorder the terms for easier multiplication: 665 = w(-3 + 2w) 665 = (-3 * w + 2w * w) 665 = (-3w + 2w2) Solving 665 = -3w + 2w2 Solving for variable 'w'. Reorder the terms: 665 + 3w + -2w2 = -3w + 3w + 2w2 + -2w2 Combine like terms: -3w + 3w = 0 665 + 3w + -2w2 = 0 + 2w2 + -2w2 665 + 3w + -2w2 = 2w2 + -2w2 Combine like terms: 2w2 + -2w2 = 0 665 + 3w + -2w2 = 0 Factor a trinomial. (19 + -1w)(35 + 2w) = 0Subproblem 1
Set the factor '(19 + -1w)' equal to zero and attempt to solve: Simplifying 19 + -1w = 0 Solving 19 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -1w = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -1w = 0 + -19 -1w = 0 + -19 Combine like terms: 0 + -19 = -19 -1w = -19 Divide each side by '-1'. w = 19 Simplifying w = 19Subproblem 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 = {19, -17.5}
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