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Simplifying -42w2 = 14w Solving -42w2 = 14w Solving for variable 'w'. Reorder the terms: -14w + -42w2 = 14w + -14w Combine like terms: 14w + -14w = 0 -14w + -42w2 = 0 Factor out the Greatest Common Factor (GCF), '-14w'. -14w(1 + 3w) = 0 Ignore the factor -14.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 '(1 + 3w)' equal to zero and attempt to solve: Simplifying 1 + 3w = 0 Solving 1 + 3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3w = 0 + -1 3w = 0 + -1 Combine like terms: 0 + -1 = -1 3w = -1 Divide each side by '3'. w = -0.3333333333 Simplifying w = -0.3333333333Solution
w = {0, -0.3333333333}
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