3n^6-12=0

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Solution for 3n^6-12=0 equation:


Simplifying
3n6 + -12 = 0

Reorder the terms:
-12 + 3n6 = 0

Solving
-12 + 3n6 = 0

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '12' to each side of the equation.
-12 + 12 + 3n6 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 3n6 = 0 + 12
3n6 = 0 + 12

Combine like terms: 0 + 12 = 12
3n6 = 12

Divide each side by '3'.
n6 = 4

Simplifying
n6 = 4

Reorder the terms:
-4 + n6 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + n6 = 0

Factor a difference between two squares.
(2 + n3)(-2 + n3) = 0

Subproblem 1

Set the factor '(2 + n3)' equal to zero and attempt to solve: Simplifying 2 + n3 = 0 Solving 2 + n3 = 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 + n3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + n3 = 0 + -2 n3 = 0 + -2 Combine like terms: 0 + -2 = -2 n3 = -2 Simplifying n3 = -2 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 '(-2 + n3)' equal to zero and attempt to solve: Simplifying -2 + n3 = 0 Solving -2 + n3 = 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 + n3 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + n3 = 0 + 2 n3 = 0 + 2 Combine like terms: 0 + 2 = 2 n3 = 2 Simplifying n3 = 2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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