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Simplifying -161 + -30w + -1w2 = 0 Solving -161 + -30w + -1w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '-1'. -1(161 + 30w + w2) = 0 Factor a trinomial. -1((23 + w)(7 + w)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(23 + w)' equal to zero and attempt to solve: Simplifying 23 + w = 0 Solving 23 + w = 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 + w = 0 + -23 Combine like terms: 23 + -23 = 0 0 + w = 0 + -23 w = 0 + -23 Combine like terms: 0 + -23 = -23 w = -23 Simplifying w = -23Subproblem 2
Set the factor '(7 + w)' equal to zero and attempt to solve: Simplifying 7 + w = 0 Solving 7 + w = 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 + w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + w = 0 + -7 w = 0 + -7 Combine like terms: 0 + -7 = -7 w = -7 Simplifying w = -7Solution
w = {-23, -7}
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