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Simplifying 6w = 9w3 + -3w2 Reorder the terms: 6w = -3w2 + 9w3 Solving 6w = -3w2 + 9w3 Solving for variable 'w'. Reorder the terms: 6w + 3w2 + -9w3 = -3w2 + 3w2 + 9w3 + -9w3 Combine like terms: -3w2 + 3w2 = 0 6w + 3w2 + -9w3 = 0 + 9w3 + -9w3 6w + 3w2 + -9w3 = 9w3 + -9w3 Combine like terms: 9w3 + -9w3 = 0 6w + 3w2 + -9w3 = 0 Factor out the Greatest Common Factor (GCF), '3w'. 3w(2 + w + -3w2) = 0 Factor a trinomial. 3w((1 + -1w)(2 + 3w)) = 0 Ignore the factor 3.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 '(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 = 1Subproblem 3
Set the factor '(2 + 3w)' equal to zero and attempt to solve: Simplifying 2 + 3w = 0 Solving 2 + 3w = 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 + 3w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3w = 0 + -2 3w = 0 + -2 Combine like terms: 0 + -2 = -2 3w = -2 Divide each side by '3'. w = -0.6666666667 Simplifying w = -0.6666666667Solution
w = {0, 1, -0.6666666667}
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