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Simplifying 15 = (3w + 4) * w Reorder the terms: 15 = (4 + 3w) * w Reorder the terms for easier multiplication: 15 = w(4 + 3w) 15 = (4 * w + 3w * w) 15 = (4w + 3w2) Solving 15 = 4w + 3w2 Solving for variable 'w'. Reorder the terms: 15 + -4w + -3w2 = 4w + -4w + 3w2 + -3w2 Combine like terms: 4w + -4w = 0 15 + -4w + -3w2 = 0 + 3w2 + -3w2 15 + -4w + -3w2 = 3w2 + -3w2 Combine like terms: 3w2 + -3w2 = 0 15 + -4w + -3w2 = 0 Factor a trinomial. (5 + -3w)(3 + w) = 0Subproblem 1
Set the factor '(5 + -3w)' equal to zero and attempt to solve: Simplifying 5 + -3w = 0 Solving 5 + -3w = 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 + -3w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3w = 0 + -5 -3w = 0 + -5 Combine like terms: 0 + -5 = -5 -3w = -5 Divide each side by '-3'. w = 1.666666667 Simplifying w = 1.666666667Subproblem 2
Set the factor '(3 + w)' equal to zero and attempt to solve: Simplifying 3 + w = 0 Solving 3 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + w = 0 + -3 w = 0 + -3 Combine like terms: 0 + -3 = -3 w = -3 Simplifying w = -3Solution
w = {1.666666667, -3}
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