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Simplifying (3w(w)) + -1((2w)(w + -2)) = 0 Multiply w * w (3w2) + -1((2w)(w + -2)) = 0 Remove parenthesis around (2w) (3w2) + -1(2w(w + -2)) = 0 Reorder the terms: (3w2) + -1(2w(-2 + w)) = 0 (3w2) + -1((-2 * 2w + w * 2w)) = 0 (3w2) + -1((-4w + 2w2)) = 0 (3w2) + (-4w * -1 + 2w2 * -1) = 0 (3w2) + (4w + -2w2) = 0 Reorder the terms: 4w + (3w2) + -2w2 = 0 Combine like terms: (3w2) + -2w2 = 1w2 4w + 1w2 = 0 Solving 4w + 1w2 = 0 Solving for variable 'w'. 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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