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Simplifying 2w2 + -2w = 3w Reorder the terms: -2w + 2w2 = 3w Solving -2w + 2w2 = 3w Solving for variable 'w'. Reorder the terms: -2w + -3w + 2w2 = 3w + -3w Combine like terms: -2w + -3w = -5w -5w + 2w2 = 3w + -3w Combine like terms: 3w + -3w = 0 -5w + 2w2 = 0 Factor out the Greatest Common Factor (GCF), 'w'. w(-5 + 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 '(-5 + 2w)' equal to zero and attempt to solve: Simplifying -5 + 2w = 0 Solving -5 + 2w = 0 Move all terms containing w to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2w = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2w = 0 + 5 2w = 0 + 5 Combine like terms: 0 + 5 = 5 2w = 5 Divide each side by '2'. w = 2.5 Simplifying w = 2.5Solution
w = {0, 2.5}
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