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Simplifying 6w5(4w + 7w2) = 0 (4w * 6w5 + 7w2 * 6w5) = 0 (24w6 + 42w7) = 0 Solving 24w6 + 42w7 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '6w6'. 6w6(4 + 7w) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'w6' equal to zero and attempt to solve: Simplifying w6 = 0 Solving w6 = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w6 = 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 '(4 + 7w)' equal to zero and attempt to solve: Simplifying 4 + 7w = 0 Solving 4 + 7w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7w = 0 + -4 7w = 0 + -4 Combine like terms: 0 + -4 = -4 7w = -4 Divide each side by '7'. w = -0.5714285714 Simplifying w = -0.5714285714Solution
w = {-0.5714285714}
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