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Simplifying (w * 3w) = [(w + 2)(2w)] Reorder the terms for easier multiplication: (3w * w) = [(w + 2)(2w)] Multiply w * w (3w2) = [(w + 2)(2w)] Reorder the terms: (3w2) = [(2 + w)(2w)] Remove parenthesis around (2w) (3w2) = [(2 + w) * 2w] Reorder the terms for easier multiplication: (3w2) = [2w(2 + w)] (3w2) = [(2 * 2w + w * 2w)] (3w2) = [(4w + 2w2)] (3w2) = [4w + 2w2] Remove brackets around [4w + 2w2] (3w2) = 4w + 2w2 Solving (3w2) = 4w + 2w2 Solving for variable 'w'. Reorder the terms: -4w + (3w2) + -2w2 = 4w + 2w2 + -4w + -2w2 Combine like terms: (3w2) + -2w2 = 1w2 -4w + 1w2 = 4w + 2w2 + -4w + -2w2 Reorder the terms: -4w + 1w2 = 4w + -4w + 2w2 + -2w2 Combine like terms: 4w + -4w = 0 -4w + 1w2 = 0 + 2w2 + -2w2 -4w + 1w2 = 2w2 + -2w2 Combine like terms: 2w2 + -2w2 = 0 -4w + 1w2 = 0 Factor out the Greatest Common Factor (GCF), 'w'. w(-4 + w) = 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 + w)' equal to zero and attempt to solve: Simplifying -4 + w = 0 Solving -4 + w = 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 + w = 0 + 4 Combine like terms: -4 + 4 = 0 0 + w = 0 + 4 w = 0 + 4 Combine like terms: 0 + 4 = 4 w = 4 Simplifying w = 4Solution
w = {0, 4}
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