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Simplifying 3n * 4n = 24n Reorder the terms for easier multiplication: 3 * 4n * n = 24n Multiply 3 * 4 12n * n = 24n Multiply n * n 12n2 = 24n Solving 12n2 = 24n Solving for variable 'n'. Reorder the terms: -24n + 12n2 = 24n + -24n Combine like terms: 24n + -24n = 0 -24n + 12n2 = 0 Factor out the Greatest Common Factor (GCF), '12n'. 12n(-2 + n) = 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 '(-2 + n)' equal to zero and attempt to solve: Simplifying -2 + n = 0 Solving -2 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + n = 0 + 2 Combine like terms: -2 + 2 = 0 0 + n = 0 + 2 n = 0 + 2 Combine like terms: 0 + 2 = 2 n = 2 Simplifying n = 2Solution
n = {0, 2}
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