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Simplifying w(3w + -5) = 12 Reorder the terms: w(-5 + 3w) = 12 (-5 * w + 3w * w) = 12 (-5w + 3w2) = 12 Solving -5w + 3w2 = 12 Solving for variable 'w'. Reorder the terms: -12 + -5w + 3w2 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + -5w + 3w2 = 0 Factor a trinomial. (-4 + -3w)(3 + -1w) = 0Subproblem 1
Set the factor '(-4 + -3w)' equal to zero and attempt to solve: Simplifying -4 + -3w = 0 Solving -4 + -3w = 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 + -3w = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3w = 0 + 4 -3w = 0 + 4 Combine like terms: 0 + 4 = 4 -3w = 4 Divide each side by '-3'. w = -1.333333333 Simplifying w = -1.333333333Subproblem 2
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 = 3Solution
w = {-1.333333333, 3}
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