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Simplifying -1n2(n + 4n2) = 0 (n * -1n2 + 4n2 * -1n2) = 0 (-1n3 + -4n4) = 0 Solving -1n3 + -4n4 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '-1n3'. -1n3(1 + 4n) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'n3' equal to zero and attempt to solve: Simplifying n3 = 0 Solving n3 = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + 4n)' equal to zero and attempt to solve: Simplifying 1 + 4n = 0 Solving 1 + 4n = 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 + 4n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4n = 0 + -1 4n = 0 + -1 Combine like terms: 0 + -1 = -1 4n = -1 Divide each side by '4'. n = -0.25 Simplifying n = -0.25Solution
n = {-0.25}
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