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Simplifying (3w + -8)(w) = 35 Reorder the terms: (-8 + 3w)(w) = 35 Reorder the terms for easier multiplication: w(-8 + 3w) = 35 (-8 * w + 3w * w) = 35 (-8w + 3w2) = 35 Solving -8w + 3w2 = 35 Solving for variable 'w'. Reorder the terms: -35 + -8w + 3w2 = 35 + -35 Combine like terms: 35 + -35 = 0 -35 + -8w + 3w2 = 0 Factor a trinomial. (-7 + -3w)(5 + -1w) = 0Subproblem 1
Set the factor '(-7 + -3w)' equal to zero and attempt to solve: Simplifying -7 + -3w = 0 Solving -7 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3w = 0 + 7 -3w = 0 + 7 Combine like terms: 0 + 7 = 7 -3w = 7 Divide each side by '-3'. w = -2.333333333 Simplifying w = -2.333333333Subproblem 2
Set the factor '(5 + -1w)' equal to zero and attempt to solve: Simplifying 5 + -1w = 0 Solving 5 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1w = 0 + -5 -1w = 0 + -5 Combine like terms: 0 + -5 = -5 -1w = -5 Divide each side by '-1'. w = 5 Simplifying w = 5Solution
w = {-2.333333333, 5}
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