6i^28=6

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Solution for 6i^28=6 equation:


Simplifying
6i28 = 6

Solving
6i28 = 6

Solving for variable 'i'.

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

Divide each side by '6'.
i28 = 1

Simplifying
i28 = 1

Reorder the terms:
-1 + i28 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + i28 = 0

Factor a difference between two squares.
(1 + i14)(-1 + i14) = 0

Factor a difference between two squares.
(1 + i14)((1 + i7)(-1 + i7)) = 0

Subproblem 1

Set the factor '(1 + i14)' equal to zero and attempt to solve: Simplifying 1 + i14 = 0 Solving 1 + i14 = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + i14 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + i14 = 0 + -1 i14 = 0 + -1 Combine like terms: 0 + -1 = -1 i14 = -1 Simplifying i14 = -1 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 + i7)' equal to zero and attempt to solve: Simplifying 1 + i7 = 0 Solving 1 + i7 = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + i7 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + i7 = 0 + -1 i7 = 0 + -1 Combine like terms: 0 + -1 = -1 i7 = -1 Simplifying i7 = -1 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 '(-1 + i7)' equal to zero and attempt to solve: Simplifying -1 + i7 = 0 Solving -1 + i7 = 0 Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + i7 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + i7 = 0 + 1 i7 = 0 + 1 Combine like terms: 0 + 1 = 1 i7 = 1 Simplifying i7 = 1 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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