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Simplifying 2w2 = 14w Solving 2w2 = 14w Solving for variable 'w'. Reorder the terms: -14w + 2w2 = 14w + -14w Combine like terms: 14w + -14w = 0 -14w + 2w2 = 0 Factor out the Greatest Common Factor (GCF), '2w'. 2w(-7 + w) = 0 Ignore the factor 2.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 '(-7 + w)' equal to zero and attempt to solve: Simplifying -7 + w = 0 Solving -7 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + w = 0 + 7 w = 0 + 7 Combine like terms: 0 + 7 = 7 w = 7 Simplifying w = 7Solution
w = {0, 7}
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