10000(1+.021i^12-1)=i

Solution for 10000(1+.021i^12-1)=i equation:

Simplifying
10000(1 + 0.021i12 + -1) = i

Reorder the terms:
10000(1 + -1 + 0.021i12) = i

Combine like terms: 1 + -1 = 0
10000(0 + 0.021i12) = i
10000(0.021i12) = i

Remove parenthesis around (0.021i12)
10000 * 0.021i12 = i

Multiply 10000 * 0.021
210i12 = i

Solving
210i12 = i

Solving for variable 'i'.

Reorder the terms:
-1i + 210i12 = i + -1i

Combine like terms: i + -1i = 0
-1i + 210i12 = 0

Factor out the Greatest Common Factor (GCF), 'i'.
i(-1 + 210i11) = 0

Subproblem 1
Set the factor 'i' equal to zero and attempt to solve:

Simplifying
i = 0

Solving
i = 0

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

Simplifying
i = 0
Subproblem 2
Set the factor '(-1 + 210i11)' equal to zero and attempt to solve:

Simplifying
-1 + 210i11 = 0

Solving
-1 + 210i11 = 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 + 210i11 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 210i11 = 0 + 1
210i11 = 0 + 1

Combine like terms: 0 + 1 = 1
210i11 = 1

Divide each side by '210'.
i11 = 0.004761904762

Simplifying
i11 = 0.004761904762

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
i = {0}