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Simplifying (3w2)(2w)(w + 2) = 0 Remove parenthesis around (3w2) 3w2(2w)(w + 2) = 0 Remove parenthesis around (2w) 3w2 * 2w(w + 2) = 0 Reorder the terms: 3w2 * 2w(2 + w) = 0 Reorder the terms for easier multiplication: 3 * 2w2 * w(2 + w) = 0 Multiply 3 * 2 6w2 * w(2 + w) = 0 Multiply w2 * w 6w3(2 + w) = 0 (2 * 6w3 + w * 6w3) = 0 (12w3 + 6w4) = 0 Solving 12w3 + 6w4 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '6w3'. 6w3(2 + w) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'w3' equal to zero and attempt to solve: Simplifying w3 = 0 Solving w3 = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2 + w)' equal to zero and attempt to solve: Simplifying 2 + w = 0 Solving 2 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + w = 0 + -2 w = 0 + -2 Combine like terms: 0 + -2 = -2 w = -2 Simplifying w = -2Solution
w = {-2}
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