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Simplifying 5w(7w + -5) = 0 Reorder the terms: 5w(-5 + 7w) = 0 (-5 * 5w + 7w * 5w) = 0 (-25w + 35w2) = 0 Solving -25w + 35w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '5w'. 5w(-5 + 7w) = 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 '(-5 + 7w)' equal to zero and attempt to solve: Simplifying -5 + 7w = 0 Solving -5 + 7w = 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 + 7w = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7w = 0 + 5 7w = 0 + 5 Combine like terms: 0 + 5 = 5 7w = 5 Divide each side by '7'. w = 0.7142857143 Simplifying w = 0.7142857143Solution
w = {0, 0.7142857143}
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