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Simplifying 9w3(2w3 + 5w) = 0 Reorder the terms: 9w3(5w + 2w3) = 0 (5w * 9w3 + 2w3 * 9w3) = 0 (45w4 + 18w6) = 0 Solving 45w4 + 18w6 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '9w4'. 9w4(5 + 2w2) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'w4' equal to zero and attempt to solve: Simplifying w4 = 0 Solving w4 = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5 + 2w2)' equal to zero and attempt to solve: Simplifying 5 + 2w2 = 0 Solving 5 + 2w2 = 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 + 2w2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2w2 = 0 + -5 2w2 = 0 + -5 Combine like terms: 0 + -5 = -5 2w2 = -5 Divide each side by '2'. w2 = -2.5 Simplifying w2 = -2.5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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