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Simplifying 3w2 = 5w Solving 3w2 = 5w Solving for variable 'w'. Reorder the terms: -5w + 3w2 = 5w + -5w Combine like terms: 5w + -5w = 0 -5w + 3w2 = 0 Factor out the Greatest Common Factor (GCF), 'w'. w(-5 + 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 '(-5 + 3w)' equal to zero and attempt to solve: Simplifying -5 + 3w = 0 Solving -5 + 3w = 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 + 3w = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3w = 0 + 5 3w = 0 + 5 Combine like terms: 0 + 5 = 5 3w = 5 Divide each side by '3'. w = 1.666666667 Simplifying w = 1.666666667Solution
w = {0, 1.666666667}
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