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Simplifying (3 + 4N) * 12N = 0 Reorder the terms for easier multiplication: 12N(3 + 4N) = 0 (3 * 12N + 4N * 12N) = 0 (36N + 48N2) = 0 Solving 36N + 48N2 = 0 Solving for variable 'N'. Factor out the Greatest Common Factor (GCF), '12N'. 12N(3 + 4N) = 0 Ignore the factor 12.Subproblem 1
Set the factor 'N' equal to zero and attempt to solve: Simplifying N = 0 Solving N = 0 Move all terms containing N to the left, all other terms to the right. Simplifying N = 0Subproblem 2
Set the factor '(3 + 4N)' equal to zero and attempt to solve: Simplifying 3 + 4N = 0 Solving 3 + 4N = 0 Move all terms containing N to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4N = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4N = 0 + -3 4N = 0 + -3 Combine like terms: 0 + -3 = -3 4N = -3 Divide each side by '4'. N = -0.75 Simplifying N = -0.75Solution
N = {0, -0.75}
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