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Simplifying -18w2 + 39w = -84 Reorder the terms: 39w + -18w2 = -84 Solving 39w + -18w2 = -84 Solving for variable 'w'. Reorder the terms: 84 + 39w + -18w2 = -84 + 84 Combine like terms: -84 + 84 = 0 84 + 39w + -18w2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(28 + 13w + -6w2) = 0 Factor a trinomial. 3((7 + -2w)(4 + 3w)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(7 + -2w)' equal to zero and attempt to solve: Simplifying 7 + -2w = 0 Solving 7 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2w = 0 + -7 -2w = 0 + -7 Combine like terms: 0 + -7 = -7 -2w = -7 Divide each side by '-2'. w = 3.5 Simplifying w = 3.5Subproblem 2
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 = -1.333333333Solution
w = {3.5, -1.333333333}
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