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Simplifying 14w2 = -33w Solving 14w2 = -33w Solving for variable 'w'. Reorder the terms: 33w + 14w2 = -33w + 33w Combine like terms: -33w + 33w = 0 33w + 14w2 = 0 Factor out the Greatest Common Factor (GCF), 'w'. w(33 + 14w) = 0Subproblem 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 '(33 + 14w)' equal to zero and attempt to solve: Simplifying 33 + 14w = 0 Solving 33 + 14w = 0 Move all terms containing w to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 14w = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 14w = 0 + -33 14w = 0 + -33 Combine like terms: 0 + -33 = -33 14w = -33 Divide each side by '14'. w = -2.357142857 Simplifying w = -2.357142857Solution
w = {0, -2.357142857}
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