4ix^2-4ix+5i=0

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Solution for 4ix^2-4ix+5i=0 equation: 


Simplifying
4ix2 + -4ix + 5i = 0

Reorder the terms:
5i + -4ix + 4ix2 = 0

Solving
5i + -4ix + 4ix2 = 0

Solving for variable 'i'.

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

Factor out the Greatest Common Factor (GCF), 'i'.
i(5 + -4x + 4x2) = 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 '(5 + -4x + 4x2)' equal to zero and attempt to solve:

Simplifying
5 + -4x + 4x2 = 0

Solving
5 + -4x + 4x2 = 0

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

Add '-5' to each side of the equation.
5 + -4x + -5 + 4x2 = 0 + -5

Reorder the terms:
5 + -5 + -4x + 4x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x + 4x2 = 0 + -5
-4x + 4x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-4x + 4x2 = -5

Add '4x' to each side of the equation.
-4x + 4x + 4x2 = -5 + 4x

Combine like terms: -4x + 4x = 0
0 + 4x2 = -5 + 4x
4x2 = -5 + 4x

Add '-4x2' to each side of the equation.
4x2 + -4x2 = -5 + 4x + -4x2

Combine like terms: 4x2 + -4x2 = 0
0 = -5 + 4x + -4x2

Simplifying
0 = -5 + 4x + -4x2

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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