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Simplifying w(5w + -3) = 36 Reorder the terms: w(-3 + 5w) = 36 (-3 * w + 5w * w) = 36 (-3w + 5w2) = 36 Solving -3w + 5w2 = 36 Solving for variable 'w'. Reorder the terms: -36 + -3w + 5w2 = 36 + -36 Combine like terms: 36 + -36 = 0 -36 + -3w + 5w2 = 0 Factor a trinomial. (-12 + -5w)(3 + -1w) = 0Subproblem 1
Set the factor '(-12 + -5w)' equal to zero and attempt to solve: Simplifying -12 + -5w = 0 Solving -12 + -5w = 0 Move all terms containing w to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -5w = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -5w = 0 + 12 -5w = 0 + 12 Combine like terms: 0 + 12 = 12 -5w = 12 Divide each side by '-5'. w = -2.4 Simplifying w = -2.4Subproblem 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 = {-2.4, 3}
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