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Simplifying 6w2(5w5 + 2w) = 0 Reorder the terms: 6w2(2w + 5w5) = 0 (2w * 6w2 + 5w5 * 6w2) = 0 (12w3 + 30w7) = 0 Solving 12w3 + 30w7 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '6w3'. 6w3(2 + 5w4) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'w3' equal to zero and attempt to solve: Simplifying w3 = 0 Solving w3 = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w3 = 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 '(2 + 5w4)' equal to zero and attempt to solve: Simplifying 2 + 5w4 = 0 Solving 2 + 5w4 = 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 + 5w4 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5w4 = 0 + -2 5w4 = 0 + -2 Combine like terms: 0 + -2 = -2 5w4 = -2 Divide each side by '5'. w4 = -0.4 Simplifying w4 = -0.4 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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