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Simplifying -5w(w3 + -7) = 0 Reorder the terms: -5w(-7 + w3) = 0 (-7 * -5w + w3 * -5w) = 0 (35w + -5w4) = 0 Solving 35w + -5w4 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '5w'. 5w(7 + -1w3) = 0 Ignore the factor 5.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 '(7 + -1w3)' equal to zero and attempt to solve: Simplifying 7 + -1w3 = 0 Solving 7 + -1w3 = 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 + -1w3 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1w3 = 0 + -7 -1w3 = 0 + -7 Combine like terms: 0 + -7 = -7 -1w3 = -7 Divide each side by '-1'. w3 = 7 Simplifying w3 = 7 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
w = {0}
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