(x^69-i^69)(x^69+i^69)=0

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Solution for (x^69-i^69)(x^69+i^69)=0 equation: 


Simplifying
(x69 + -1i69)(x69 + i69) = 0

Reorder the terms:
(-1i69 + x69)(x69 + i69) = 0

Reorder the terms:
(-1i69 + x69)(i69 + x69) = 0

Multiply (-1i69 + x69) * (i69 + x69)
(-1i69 * (i69 + x69) + x69(i69 + x69)) = 0
((i69 * -1i69 + x69 * -1i69) + x69(i69 + x69)) = 0

Reorder the terms:
((-1i69x69 + -1i138) + x69(i69 + x69)) = 0
((-1i69x69 + -1i138) + x69(i69 + x69)) = 0
(-1i69x69 + -1i138 + (i69 * x69 + x69 * x69)) = 0
(-1i69x69 + -1i138 + (i69x69 + x138)) = 0

Reorder the terms:
(-1i69x69 + i69x69 + -1i138 + x138) = 0

Combine like terms: -1i69x69 + i69x69 = 0
(0 + -1i138 + x138) = 0
(-1i138 + x138) = 0

Solving
-1i138 + x138 = 0

Solving for variable 'i'.

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

Add '-1x138' to each side of the equation.
-1i138 + x138 + -1x138 = 0 + -1x138

Combine like terms: x138 + -1x138 = 0
-1i138 + 0 = 0 + -1x138
-1i138 = 0 + -1x138
Remove the zero:
-1i138 = -1x138

Divide each side by '-1'.
i138 = x138

Simplifying
i138 = x138

Combine like terms: x138 + -1x138 = 0
i138 + -1x138 = 0

Factor a difference between two squares.
(i69 + x69)(i69 + -1x69) = 0


Subproblem 1
Set the factor '(i69 + x69)' equal to zero and attempt to solve:

Simplifying
i69 + x69 = 0

Solving
i69 + x69 = 0

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

Add '-1x69' to each side of the equation.
i69 + x69 + -1x69 = 0 + -1x69

Combine like terms: x69 + -1x69 = 0
i69 + 0 = 0 + -1x69
i69 = 0 + -1x69
Remove the zero:
i69 = -1x69

Simplifying
i69 = -1x69

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 '(i69 + -1x69)' equal to zero and attempt to solve:

Simplifying
i69 + -1x69 = 0

Solving
i69 + -1x69 = 0

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

Add 'x69' to each side of the equation.
i69 + -1x69 + x69 = 0 + x69

Combine like terms: -1x69 + x69 = 0
i69 + 0 = 0 + x69
i69 = 0 + x69
Remove the zero:
i69 = x69

Simplifying
i69 = x69

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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