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Simplifying -3w3 = -2w2 + -5w Reorder the terms: -3w3 = -5w + -2w2 Solving -3w3 = -5w + -2w2 Solving for variable 'w'. Reorder the terms: 5w + 2w2 + -3w3 = -5w + -2w2 + 5w + 2w2 Reorder the terms: 5w + 2w2 + -3w3 = -5w + 5w + -2w2 + 2w2 Combine like terms: -5w + 5w = 0 5w + 2w2 + -3w3 = 0 + -2w2 + 2w2 5w + 2w2 + -3w3 = -2w2 + 2w2 Combine like terms: -2w2 + 2w2 = 0 5w + 2w2 + -3w3 = 0 Factor out the Greatest Common Factor (GCF), 'w'. w(5 + 2w + -3w2) = 0 Factor a trinomial. w((5 + -3w)(1 + w)) = 0Subproblem 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 '(5 + -3w)' equal to zero and attempt to solve: Simplifying 5 + -3w = 0 Solving 5 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3w = 0 + -5 -3w = 0 + -5 Combine like terms: 0 + -5 = -5 -3w = -5 Divide each side by '-3'. w = 1.666666667 Simplifying w = 1.666666667Subproblem 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, 1.666666667, -1}
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