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Simplifying n4 + -225 = 0 Reorder the terms: -225 + n4 = 0 Solving -225 + n4 = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '225' to each side of the equation. -225 + 225 + n4 = 0 + 225 Combine like terms: -225 + 225 = 0 0 + n4 = 0 + 225 n4 = 0 + 225 Combine like terms: 0 + 225 = 225 n4 = 225 Simplifying n4 = 225 Reorder the terms: -225 + n4 = 225 + -225 Combine like terms: 225 + -225 = 0 -225 + n4 = 0 Factor a difference between two squares. (15 + n2)(-15 + n2) = 0Subproblem 1
Set the factor '(15 + n2)' equal to zero and attempt to solve: Simplifying 15 + n2 = 0 Solving 15 + n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + n2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + n2 = 0 + -15 n2 = 0 + -15 Combine like terms: 0 + -15 = -15 n2 = -15 Simplifying n2 = -15 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 '(-15 + n2)' equal to zero and attempt to solve: Simplifying -15 + n2 = 0 Solving -15 + n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + n2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + n2 = 0 + 15 n2 = 0 + 15 Combine like terms: 0 + 15 = 15 n2 = 15 Simplifying n2 = 15 Take the square root of each side: n = {-3.872983346, 3.872983346}Solution
n = {-3.872983346, 3.872983346}
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