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Simplifying 5w(14w + 9) = 0 Reorder the terms: 5w(9 + 14w) = 0 (9 * 5w + 14w * 5w) = 0 (45w + 70w2) = 0 Solving 45w + 70w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '5w'. 5w(9 + 14w) = 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 '(9 + 14w)' equal to zero and attempt to solve: Simplifying 9 + 14w = 0 Solving 9 + 14w = 0 Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 14w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 14w = 0 + -9 14w = 0 + -9 Combine like terms: 0 + -9 = -9 14w = -9 Divide each side by '14'. w = -0.6428571429 Simplifying w = -0.6428571429Solution
w = {0, -0.6428571429}
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