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Simplifying 40 = (3w + -2) * w Reorder the terms: 40 = (-2 + 3w) * w Reorder the terms for easier multiplication: 40 = w(-2 + 3w) 40 = (-2 * w + 3w * w) 40 = (-2w + 3w2) Solving 40 = -2w + 3w2 Solving for variable 'w'. Reorder the terms: 40 + 2w + -3w2 = -2w + 2w + 3w2 + -3w2 Combine like terms: -2w + 2w = 0 40 + 2w + -3w2 = 0 + 3w2 + -3w2 40 + 2w + -3w2 = 3w2 + -3w2 Combine like terms: 3w2 + -3w2 = 0 40 + 2w + -3w2 = 0 Factor a trinomial. (4 + -1w)(10 + 3w) = 0Subproblem 1
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 = 4Subproblem 2
Set the factor '(10 + 3w)' equal to zero and attempt to solve: Simplifying 10 + 3w = 0 Solving 10 + 3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3w = 0 + -10 3w = 0 + -10 Combine like terms: 0 + -10 = -10 3w = -10 Divide each side by '3'. w = -3.333333333 Simplifying w = -3.333333333Solution
w = {4, -3.333333333}
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