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Simplifying 2w2 = 7w Solving 2w2 = 7w Solving for variable 'w'. Reorder the terms: -7w + 2w2 = 7w + -7w Combine like terms: 7w + -7w = 0 -7w + 2w2 = 0 Factor out the Greatest Common Factor (GCF), 'w'. w(-7 + 2w) = 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 '(-7 + 2w)' equal to zero and attempt to solve: Simplifying -7 + 2w = 0 Solving -7 + 2w = 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 + 2w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2w = 0 + 7 2w = 0 + 7 Combine like terms: 0 + 7 = 7 2w = 7 Divide each side by '2'. w = 3.5 Simplifying w = 3.5Solution
w = {0, 3.5}
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