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Simplifying (-3n2) = 4n3 + n2 Reorder the terms: (-3n2) = n2 + 4n3 Solving (-3n2) = n2 + 4n3 Solving for variable 'n'. Combine like terms: (-3n2) + -1n2 = -4n2 -4n2 + -4n3 = n2 + 4n3 + -1n2 + -4n3 Reorder the terms: -4n2 + -4n3 = n2 + -1n2 + 4n3 + -4n3 Combine like terms: n2 + -1n2 = 0 -4n2 + -4n3 = 0 + 4n3 + -4n3 -4n2 + -4n3 = 4n3 + -4n3 Combine like terms: 4n3 + -4n3 = 0 -4n2 + -4n3 = 0 Factor out the Greatest Common Factor (GCF), '-4n2'. -4n2(1 + n) = 0 Ignore the factor -4.Subproblem 1
Set the factor 'n2' equal to zero and attempt to solve: Simplifying n2 = 0 Solving n2 = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n2 = 0 Take the square root of each side: n = {0}Subproblem 2
Set the factor '(1 + n)' equal to zero and attempt to solve: Simplifying 1 + n = 0 Solving 1 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + n = 0 + -1 n = 0 + -1 Combine like terms: 0 + -1 = -1 n = -1 Simplifying n = -1Solution
n = {0, -1}
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