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Simplifying 4w2 + 76w + -480 = 0 Reorder the terms: -480 + 76w + 4w2 = 0 Solving -480 + 76w + 4w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '4'. 4(-120 + 19w + w2) = 0 Factor a trinomial. 4((-24 + -1w)(5 + -1w)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-24 + -1w)' equal to zero and attempt to solve: Simplifying -24 + -1w = 0 Solving -24 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -1w = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -1w = 0 + 24 -1w = 0 + 24 Combine like terms: 0 + 24 = 24 -1w = 24 Divide each side by '-1'. w = -24 Simplifying w = -24Subproblem 2
Set the factor '(5 + -1w)' equal to zero and attempt to solve: Simplifying 5 + -1w = 0 Solving 5 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1w = 0 + -5 -1w = 0 + -5 Combine like terms: 0 + -5 = -5 -1w = -5 Divide each side by '-1'. w = 5 Simplifying w = 5Solution
w = {-24, 5}
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