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Simplifying 36w3 + -60w2 + 9w = 0 Reorder the terms: 9w + -60w2 + 36w3 = 0 Solving 9w + -60w2 + 36w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '3w'. 3w(3 + -20w + 12w2) = 0 Factor a trinomial. 3w((1 + -6w)(3 + -2w)) = 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 + -6w)' equal to zero and attempt to solve: Simplifying 1 + -6w = 0 Solving 1 + -6w = 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 + -6w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6w = 0 + -1 -6w = 0 + -1 Combine like terms: 0 + -1 = -1 -6w = -1 Divide each side by '-6'. w = 0.1666666667 Simplifying w = 0.1666666667Subproblem 3
Set the factor '(3 + -2w)' equal to zero and attempt to solve: Simplifying 3 + -2w = 0 Solving 3 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2w = 0 + -3 -2w = 0 + -3 Combine like terms: 0 + -3 = -3 -2w = -3 Divide each side by '-2'. w = 1.5 Simplifying w = 1.5Solution
w = {0, 0.1666666667, 1.5}
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