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Simplifying 2w3 = -6w2 + -4w Reorder the terms: 2w3 = -4w + -6w2 Solving 2w3 = -4w + -6w2 Solving for variable 'w'. Reorder the terms: 4w + 6w2 + 2w3 = -4w + -6w2 + 4w + 6w2 Reorder the terms: 4w + 6w2 + 2w3 = -4w + 4w + -6w2 + 6w2 Combine like terms: -4w + 4w = 0 4w + 6w2 + 2w3 = 0 + -6w2 + 6w2 4w + 6w2 + 2w3 = -6w2 + 6w2 Combine like terms: -6w2 + 6w2 = 0 4w + 6w2 + 2w3 = 0 Factor out the Greatest Common Factor (GCF), '2w'. 2w(2 + 3w + w2) = 0 Factor a trinomial. 2w((2 + w)(1 + w)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'w' equal to zero and attempt to solve: Simplifying w = 0 Solving w = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w = 0Subproblem 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 = -2Subproblem 3
Set the factor '(1 + w)' equal to zero and attempt to solve: Simplifying 1 + w = 0 Solving 1 + w = 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 + w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + w = 0 + -1 w = 0 + -1 Combine like terms: 0 + -1 = -1 w = -1 Simplifying w = -1Solution
w = {0, -2, -1}
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