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Simplifying 3n4 + -15n2 = 0 Reorder the terms: -15n2 + 3n4 = 0 Solving -15n2 + 3n4 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '3n2'. 3n2(-5 + n2) = 0 Ignore the factor 3.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 '(-5 + n2)' equal to zero and attempt to solve: Simplifying -5 + n2 = 0 Solving -5 + n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + n2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + n2 = 0 + 5 n2 = 0 + 5 Combine like terms: 0 + 5 = 5 n2 = 5 Simplifying n2 = 5 Take the square root of each side: n = {-2.236067978, 2.236067978}Solution
n = {0, -2.236067978, 2.236067978}
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