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Simplifying 2w(w + 2) = w(3w) Reorder the terms: 2w(2 + w) = w(3w) (2 * 2w + w * 2w) = w(3w) (4w + 2w2) = w(3w) Remove parenthesis around (3w) 4w + 2w2 = w * 3w Reorder the terms for easier multiplication: 4w + 2w2 = 3w * w Multiply w * w 4w + 2w2 = 3w2 Solving 4w + 2w2 = 3w2 Solving for variable 'w'. Combine like terms: 2w2 + -3w2 = -1w2 4w + -1w2 = 3w2 + -3w2 Combine like terms: 3w2 + -3w2 = 0 4w + -1w2 = 0 Factor out the Greatest Common Factor (GCF), 'w'. w(4 + -1w) = 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 '(4 + -1w)' equal to zero and attempt to solve: Simplifying 4 + -1w = 0 Solving 4 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1w = 0 + -4 -1w = 0 + -4 Combine like terms: 0 + -4 = -4 -1w = -4 Divide each side by '-1'. w = 4 Simplifying w = 4Solution
w = {0, 4}
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