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Simplifying 4w2 + -32w + -336 = 0 Reorder the terms: -336 + -32w + 4w2 = 0 Solving -336 + -32w + 4w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '4'. 4(-84 + -8w + w2) = 0 Factor a trinomial. 4((-6 + -1w)(14 + -1w)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-6 + -1w)' equal to zero and attempt to solve: Simplifying -6 + -1w = 0 Solving -6 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1w = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1w = 0 + 6 -1w = 0 + 6 Combine like terms: 0 + 6 = 6 -1w = 6 Divide each side by '-1'. w = -6 Simplifying w = -6Subproblem 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 = {-6, 14}
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