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Simplifying 10w2(7w + 2w4) = 0 (7w * 10w2 + 2w4 * 10w2) = 0 (70w3 + 20w6) = 0 Solving 70w3 + 20w6 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '10w3'. 10w3(7 + 2w3) = 0 Ignore the factor 10.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 '(7 + 2w3)' equal to zero and attempt to solve: Simplifying 7 + 2w3 = 0 Solving 7 + 2w3 = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2w3 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2w3 = 0 + -7 2w3 = 0 + -7 Combine like terms: 0 + -7 = -7 2w3 = -7 Divide each side by '2'. w3 = -3.5 Simplifying w3 = -3.5 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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