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Simplifying 192 + -3n4 = 0 Solving 192 + -3n4 = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-192' to each side of the equation. 192 + -192 + -3n4 = 0 + -192 Combine like terms: 192 + -192 = 0 0 + -3n4 = 0 + -192 -3n4 = 0 + -192 Combine like terms: 0 + -192 = -192 -3n4 = -192 Divide each side by '-3'. n4 = 64 Simplifying n4 = 64 Reorder the terms: -64 + n4 = 64 + -64 Combine like terms: 64 + -64 = 0 -64 + n4 = 0 Factor a difference between two squares. (8 + n2)(-8 + n2) = 0Subproblem 1
Set the factor '(8 + n2)' equal to zero and attempt to solve: Simplifying 8 + n2 = 0 Solving 8 + n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + n2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + n2 = 0 + -8 n2 = 0 + -8 Combine like terms: 0 + -8 = -8 n2 = -8 Simplifying n2 = -8 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 '(-8 + n2)' equal to zero and attempt to solve: Simplifying -8 + n2 = 0 Solving -8 + n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + n2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + n2 = 0 + 8 n2 = 0 + 8 Combine like terms: 0 + 8 = 8 n2 = 8 Simplifying n2 = 8 Take the square root of each side: n = {-2.828427125, 2.828427125}Solution
n = {-2.828427125, 2.828427125}
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