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Simplifying 4w2 + 70w + 216 = 0 Reorder the terms: 216 + 70w + 4w2 = 0 Solving 216 + 70w + 4w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2'. 2(108 + 35w + 2w2) = 0 Factor a trinomial. 2((27 + 2w)(4 + w)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(27 + 2w)' equal to zero and attempt to solve: Simplifying 27 + 2w = 0 Solving 27 + 2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 2w = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 2w = 0 + -27 2w = 0 + -27 Combine like terms: 0 + -27 = -27 2w = -27 Divide each side by '2'. w = -13.5 Simplifying w = -13.5Subproblem 2
Set the factor '(4 + w)' equal to zero and attempt to solve: Simplifying 4 + w = 0 Solving 4 + w = 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 + w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + w = 0 + -4 w = 0 + -4 Combine like terms: 0 + -4 = -4 w = -4 Simplifying w = -4Solution
w = {-13.5, -4}
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