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Simplifying 15w3 = -35w2 + -10w Reorder the terms: 15w3 = -10w + -35w2 Solving 15w3 = -10w + -35w2 Solving for variable 'w'. Reorder the terms: 10w + 35w2 + 15w3 = -10w + -35w2 + 10w + 35w2 Reorder the terms: 10w + 35w2 + 15w3 = -10w + 10w + -35w2 + 35w2 Combine like terms: -10w + 10w = 0 10w + 35w2 + 15w3 = 0 + -35w2 + 35w2 10w + 35w2 + 15w3 = -35w2 + 35w2 Combine like terms: -35w2 + 35w2 = 0 10w + 35w2 + 15w3 = 0 Factor out the Greatest Common Factor (GCF), '5w'. 5w(2 + 7w + 3w2) = 0 Factor a trinomial. 5w((2 + w)(1 + 3w)) = 0 Ignore the factor 5.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 + 3w)' equal to zero and attempt to solve: Simplifying 1 + 3w = 0 Solving 1 + 3w = 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 + 3w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3w = 0 + -1 3w = 0 + -1 Combine like terms: 0 + -1 = -1 3w = -1 Divide each side by '3'. w = -0.3333333333 Simplifying w = -0.3333333333Solution
w = {0, -2, -0.3333333333}
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