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Simplifying 2w2 + 6w + -308 = 0 Reorder the terms: -308 + 6w + 2w2 = 0 Solving -308 + 6w + 2w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2'. 2(-154 + 3w + w2) = 0 Factor a trinomial. 2((-14 + -1w)(11 + -1w)) = 0 Ignore the factor 2.Subproblem 1
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 = -14Subproblem 2
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 = 11Solution
w = {-14, 11}
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