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Simplifying 9w + -6w3 = 0 Solving 9w + -6w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '3w'. 3w(3 + -2w2) = 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 '(3 + -2w2)' equal to zero and attempt to solve: Simplifying 3 + -2w2 = 0 Solving 3 + -2w2 = 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 + -2w2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2w2 = 0 + -3 -2w2 = 0 + -3 Combine like terms: 0 + -3 = -3 -2w2 = -3 Divide each side by '-2'. w2 = 1.5 Simplifying w2 = 1.5 Take the square root of each side: w = {-1.224744871, 1.224744871}Solution
w = {0, -1.224744871, 1.224744871}
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