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Simplifying x4n2 + -4n2 = 0 Reorder the terms: -4n2 + n2x4 = 0 Solving -4n2 + n2x4 = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'n2'. n2(-4 + x4) = 0 Factor a difference between two squares. n2((2 + x2)(-2 + x2)) = 0Subproblem 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 '(2 + x2)' equal to zero and attempt to solve: Simplifying 2 + x2 = 0 Solving 2 + x2 = 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 + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x2 = 0 + -2 x2 = 0 + -2 Combine like terms: 0 + -2 = -2 x2 = -2 Add '-1x2' to each side of the equation. x2 + -1x2 = -2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -2 + -1x2 Simplifying 0 = -2 + -1x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-2 + x2)' equal to zero and attempt to solve: Simplifying -2 + x2 = 0 Solving -2 + x2 = 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 + x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x2 = 0 + 2 x2 = 0 + 2 Combine like terms: 0 + 2 = 2 x2 = 2 Add '-1x2' to each side of the equation. x2 + -1x2 = 2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 2 + -1x2 Simplifying 0 = 2 + -1x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
n = {0}
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