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Simplifying 4w2 + 12w + -1512 = 0 Reorder the terms: -1512 + 12w + 4w2 = 0 Solving -1512 + 12w + 4w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '4'. 4(-378 + 3w + w2) = 0 Factor a trinomial. 4((-21 + -1w)(18 + -1w)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-21 + -1w)' equal to zero and attempt to solve: Simplifying -21 + -1w = 0 Solving -21 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -1w = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -1w = 0 + 21 -1w = 0 + 21 Combine like terms: 0 + 21 = 21 -1w = 21 Divide each side by '-1'. w = -21 Simplifying w = -21Subproblem 2
Set the factor '(18 + -1w)' equal to zero and attempt to solve: Simplifying 18 + -1w = 0 Solving 18 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1w = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1w = 0 + -18 -1w = 0 + -18 Combine like terms: 0 + -18 = -18 -1w = -18 Divide each side by '-1'. w = 18 Simplifying w = 18Solution
w = {-21, 18}
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