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Simplifying -3w2 + -24w + -36 = 0 Reorder the terms: -36 + -24w + -3w2 = 0 Solving -36 + -24w + -3w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '-3'. -3(12 + 8w + w2) = 0 Factor a trinomial. -3((6 + w)(2 + w)) = 0 Ignore the factor -3.Subproblem 1
Set the factor '(6 + w)' equal to zero and attempt to solve: Simplifying 6 + w = 0 Solving 6 + w = 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 + w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + w = 0 + -6 w = 0 + -6 Combine like terms: 0 + -6 = -6 w = -6 Simplifying w = -6Subproblem 2
Set the factor '(2 + w)' equal to zero and attempt to solve: Simplifying 2 + w = 0 Solving 2 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + w = 0 + -2 w = 0 + -2 Combine like terms: 0 + -2 = -2 w = -2 Simplifying w = -2Solution
w = {-6, -2}
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