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Simplifying 2w2 + 14w = 88 Reorder the terms: 14w + 2w2 = 88 Solving 14w + 2w2 = 88 Solving for variable 'w'. Reorder the terms: -88 + 14w + 2w2 = 88 + -88 Combine like terms: 88 + -88 = 0 -88 + 14w + 2w2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-44 + 7w + w2) = 0 Factor a trinomial. 2((-11 + -1w)(4 + -1w)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-11 + -1w)' equal to zero and attempt to solve: Simplifying -11 + -1w = 0 Solving -11 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1w = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1w = 0 + 11 -1w = 0 + 11 Combine like terms: 0 + 11 = 11 -1w = 11 Divide each side by '-1'. w = -11 Simplifying w = -11Subproblem 2
Set the factor '(4 + -1w)' equal to zero and attempt to solve: Simplifying 4 + -1w = 0 Solving 4 + -1w = 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 + -1w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1w = 0 + -4 -1w = 0 + -4 Combine like terms: 0 + -4 = -4 -1w = -4 Divide each side by '-1'. w = 4 Simplifying w = 4Solution
w = {-11, 4}
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