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Simplifying -2w2 + -10w + 252 = 0 Reorder the terms: 252 + -10w + -2w2 = 0 Solving 252 + -10w + -2w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2'. 2(126 + -5w + -1w2) = 0 Factor a trinomial. 2((9 + -1w)(14 + w)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + -1w)' equal to zero and attempt to solve: Simplifying 9 + -1w = 0 Solving 9 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1w = 0 + -9 -1w = 0 + -9 Combine like terms: 0 + -9 = -9 -1w = -9 Divide each side by '-1'. w = 9 Simplifying w = 9Subproblem 2
Set the factor '(14 + w)' equal to zero and attempt to solve: Simplifying 14 + w = 0 Solving 14 + w = 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 + w = 0 + -14 Combine like terms: 14 + -14 = 0 0 + w = 0 + -14 w = 0 + -14 Combine like terms: 0 + -14 = -14 w = -14 Simplifying w = -14Solution
w = {9, -14}
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