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Simplifying 2w2 + 18w + -644 = 0 Reorder the terms: -644 + 18w + 2w2 = 0 Solving -644 + 18w + 2w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2'. 2(-322 + 9w + w2) = 0 Factor a trinomial. 2((-23 + -1w)(14 + -1w)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-23 + -1w)' equal to zero and attempt to solve: Simplifying -23 + -1w = 0 Solving -23 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -1w = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -1w = 0 + 23 -1w = 0 + 23 Combine like terms: 0 + 23 = 23 -1w = 23 Divide each side by '-1'. w = -23 Simplifying w = -23Subproblem 2
Set the factor '(14 + -1w)' equal to zero and attempt to solve: Simplifying 14 + -1w = 0 Solving 14 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1w = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1w = 0 + -14 -1w = 0 + -14 Combine like terms: 0 + -14 = -14 -1w = -14 Divide each side by '-1'. w = 14 Simplifying w = 14Solution
w = {-23, 14}
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