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Simplifying 3w2 + 14w = 0 Reorder the terms: 14w + 3w2 = 0 Solving 14w + 3w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(14 + 3w) = 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 '(14 + 3w)' equal to zero and attempt to solve: Simplifying 14 + 3w = 0 Solving 14 + 3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3w = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 3w = 0 + -14 3w = 0 + -14 Combine like terms: 0 + -14 = -14 3w = -14 Divide each side by '3'. w = -4.666666667 Simplifying w = -4.666666667Solution
w = {0, -4.666666667}
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