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Simplifying 4w2 + -1w(2w + -3) = 0 Reorder the terms: 4w2 + -1w(-3 + 2w) = 0 4w2 + (-3 * -1w + 2w * -1w) = 0 4w2 + (3w + -2w2) = 0 Reorder the terms: 3w + 4w2 + -2w2 = 0 Combine like terms: 4w2 + -2w2 = 2w2 3w + 2w2 = 0 Solving 3w + 2w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(3 + 2w) = 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 '(3 + 2w)' equal to zero and attempt to solve: Simplifying 3 + 2w = 0 Solving 3 + 2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2w = 0 + -3 2w = 0 + -3 Combine like terms: 0 + -3 = -3 2w = -3 Divide each side by '2'. w = -1.5 Simplifying w = -1.5Solution
w = {0, -1.5}
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