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Simplifying 15 = w(3w + -4) Reorder the terms: 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. (3 + -1w)(5 + 3w) = 0Subproblem 1
Set the factor '(3 + -1w)' equal to zero and attempt to solve: Simplifying 3 + -1w = 0 Solving 3 + -1w = 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 + -1w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1w = 0 + -3 -1w = 0 + -3 Combine like terms: 0 + -3 = -3 -1w = -3 Divide each side by '-1'. w = 3 Simplifying w = 3Subproblem 2
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 = -1.666666667Solution
w = {3, -1.666666667}
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