8i^18-5i+i^16=25i^3+3i^12-i

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Solution for 8i^18-5i+i^16=25i^3+3i^12-i equation: 


Simplifying
8i18 + -5i + i16 = 25i3 + 3i12 + -1i

Reorder the terms:
-5i + i16 + 8i18 = 25i3 + 3i12 + -1i

Reorder the terms:
-5i + i16 + 8i18 = -1i + 25i3 + 3i12

Solving
-5i + i16 + 8i18 = -1i + 25i3 + 3i12

Solving for variable 'i'.

Reorder the terms:
-5i + i + -25i3 + -3i12 + i16 + 8i18 = -1i + 25i3 + 3i12 + i + -25i3 + -3i12

Combine like terms: -5i + i = -4i
-4i + -25i3 + -3i12 + i16 + 8i18 = -1i + 25i3 + 3i12 + i + -25i3 + -3i12

Reorder the terms:
-4i + -25i3 + -3i12 + i16 + 8i18 = -1i + i + 25i3 + -25i3 + 3i12 + -3i12

Combine like terms: -1i + i = 0
-4i + -25i3 + -3i12 + i16 + 8i18 = 0 + 25i3 + -25i3 + 3i12 + -3i12
-4i + -25i3 + -3i12 + i16 + 8i18 = 25i3 + -25i3 + 3i12 + -3i12

Combine like terms: 25i3 + -25i3 = 0
-4i + -25i3 + -3i12 + i16 + 8i18 = 0 + 3i12 + -3i12
-4i + -25i3 + -3i12 + i16 + 8i18 = 3i12 + -3i12

Combine like terms: 3i12 + -3i12 = 0
-4i + -25i3 + -3i12 + i16 + 8i18 = 0

Factor out the Greatest Common Factor (GCF), 'i'.
i(-4 + -25i2 + -3i11 + i15 + 8i17) = 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 '(-4 + -25i2 + -3i11 + i15 + 8i17)' equal to zero and attempt to solve:

Simplifying
-4 + -25i2 + -3i11 + i15 + 8i17 = 0

Solving
-4 + -25i2 + -3i11 + i15 + 8i17 = 0

The solution to this equation could not be determined.

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

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