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Simplifying -3w6(-2w2 + -6w + 8) = 0 Reorder the terms: -3w6(8 + -6w + -2w2) = 0 (8 * -3w6 + -6w * -3w6 + -2w2 * -3w6) = 0 (-24w6 + 18w7 + 6w8) = 0 Solving -24w6 + 18w7 + 6w8 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '6w6'. 6w6(-4 + 3w + w2) = 0 Factor a trinomial. 6w6((-4 + -1w)(1 + -1w)) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'w6' equal to zero and attempt to solve: Simplifying w6 = 0 Solving w6 = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w6 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-4 + -1w)' equal to zero and attempt to solve: Simplifying -4 + -1w = 0 Solving -4 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1w = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1w = 0 + 4 -1w = 0 + 4 Combine like terms: 0 + 4 = 4 -1w = 4 Divide each side by '-1'. w = -4 Simplifying w = -4Subproblem 3
Set the factor '(1 + -1w)' equal to zero and attempt to solve: Simplifying 1 + -1w = 0 Solving 1 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1w = 0 + -1 -1w = 0 + -1 Combine like terms: 0 + -1 = -1 -1w = -1 Divide each side by '-1'. w = 1 Simplifying w = 1Solution
w = {-4, 1}
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