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Simplifying 4w(5w + 4) = -15w + -12 Reorder the terms: 4w(4 + 5w) = -15w + -12 (4 * 4w + 5w * 4w) = -15w + -12 (16w + 20w2) = -15w + -12 Reorder the terms: 16w + 20w2 = -12 + -15w Solving 16w + 20w2 = -12 + -15w Solving for variable 'w'. Reorder the terms: 12 + 16w + 15w + 20w2 = -12 + -15w + 12 + 15w Combine like terms: 16w + 15w = 31w 12 + 31w + 20w2 = -12 + -15w + 12 + 15w Reorder the terms: 12 + 31w + 20w2 = -12 + 12 + -15w + 15w Combine like terms: -12 + 12 = 0 12 + 31w + 20w2 = 0 + -15w + 15w 12 + 31w + 20w2 = -15w + 15w Combine like terms: -15w + 15w = 0 12 + 31w + 20w2 = 0 Factor a trinomial. (4 + 5w)(3 + 4w) = 0Subproblem 1
Set the factor '(4 + 5w)' equal to zero and attempt to solve: Simplifying 4 + 5w = 0 Solving 4 + 5w = 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 + 5w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5w = 0 + -4 5w = 0 + -4 Combine like terms: 0 + -4 = -4 5w = -4 Divide each side by '5'. w = -0.8 Simplifying w = -0.8Subproblem 2
Set the factor '(3 + 4w)' equal to zero and attempt to solve: Simplifying 3 + 4w = 0 Solving 3 + 4w = 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 + 4w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4w = 0 + -3 4w = 0 + -3 Combine like terms: 0 + -3 = -3 4w = -3 Divide each side by '4'. w = -0.75 Simplifying w = -0.75Solution
w = {-0.8, -0.75}
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