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Simplifying 3w2 = (2w)(4w + 3) Remove parenthesis around (2w) 3w2 = 2w(4w + 3) Reorder the terms: 3w2 = 2w(3 + 4w) 3w2 = (3 * 2w + 4w * 2w) 3w2 = (6w + 8w2) Solving 3w2 = 6w + 8w2 Solving for variable 'w'. Reorder the terms: -6w + 3w2 + -8w2 = 6w + 8w2 + -6w + -8w2 Combine like terms: 3w2 + -8w2 = -5w2 -6w + -5w2 = 6w + 8w2 + -6w + -8w2 Reorder the terms: -6w + -5w2 = 6w + -6w + 8w2 + -8w2 Combine like terms: 6w + -6w = 0 -6w + -5w2 = 0 + 8w2 + -8w2 -6w + -5w2 = 8w2 + -8w2 Combine like terms: 8w2 + -8w2 = 0 -6w + -5w2 = 0 Factor out the Greatest Common Factor (GCF), '-1w'. -1w(6 + 5w) = 0 Ignore the factor -1.Subproblem 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 '(6 + 5w)' equal to zero and attempt to solve: Simplifying 6 + 5w = 0 Solving 6 + 5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5w = 0 + -6 5w = 0 + -6 Combine like terms: 0 + -6 = -6 5w = -6 Divide each side by '5'. w = -1.2 Simplifying w = -1.2Solution
w = {0, -1.2}
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