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Simplifying 34n3 + -48n = 22n3 Reorder the terms: -48n + 34n3 = 22n3 Solving -48n + 34n3 = 22n3 Solving for variable 'n'. Combine like terms: 34n3 + -22n3 = 12n3 -48n + 12n3 = 22n3 + -22n3 Combine like terms: 22n3 + -22n3 = 0 -48n + 12n3 = 0 Factor out the Greatest Common Factor (GCF), '12n'. 12n(-4 + n2) = 0 Factor a difference between two squares. 12n((2 + n)(-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 = -2Subproblem 3
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, 2}
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