4i^45-9i^27-6i^9=

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Solution for 4i^45-9i^27-6i^9= equation: 


Simplifying
4i45 + -9i27 + -6i9 = 0

Reorder the terms:
-6i9 + -9i27 + 4i45 = 0

Solving
-6i9 + -9i27 + 4i45 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), 'i9'.
i9(-6 + -9i18 + 4i36) = 0


Subproblem 1
Set the factor 'i9' equal to zero and attempt to solve:

Simplifying
i9 = 0

Solving
i9 = 0

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

Simplifying
i9 = 0

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 '(-6 + -9i18 + 4i36)' equal to zero and attempt to solve:

Simplifying
-6 + -9i18 + 4i36 = 0

Solving
-6 + -9i18 + 4i36 = 0

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
-1.5 + -2.25i18 + i36 = 0

Move the constant term to the right:

Add '1.5' to each side of the equation.
-1.5 + -2.25i18 + 1.5 + i36 = 0 + 1.5

Reorder the terms:
-1.5 + 1.5 + -2.25i18 + i36 = 0 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + -2.25i18 + i36 = 0 + 1.5
-2.25i18 + i36 = 0 + 1.5

Combine like terms: 0 + 1.5 = 1.5
-2.25i18 + i36 = 1.5

The i term is -2.25i18.  Take half its coefficient (-1.125).
Square it (1.265625) and add it to both sides.

Add '1.265625' to each side of the equation.
-2.25i18 + 1.265625 + i36 = 1.5 + 1.265625

Reorder the terms:
1.265625 + -2.25i18 + i36 = 1.5 + 1.265625

Combine like terms: 1.5 + 1.265625 = 2.765625
1.265625 + -2.25i18 + i36 = 2.765625

Factor a perfect square on the left side:
(i18 + -1.125)(i18 + -1.125) = 2.765625

Calculate the square root of the right side: 1.663016837

Break this problem into two subproblems by setting 
(i18 + -1.125) equal to 1.663016837 and -1.663016837.


Subproblem 1
i18 + -1.125 = 1.663016837

Simplifying
i18 + -1.125 = 1.663016837

Reorder the terms:
-1.125 + i18 = 1.663016837

Solving
-1.125 + i18 = 1.663016837

Solving for variable 'i'.

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

Add '1.125' to each side of the equation.
-1.125 + 1.125 + i18 = 1.663016837 + 1.125

Combine like terms: -1.125 + 1.125 = 0.000
0.000 + i18 = 1.663016837 + 1.125
i18 = 1.663016837 + 1.125

Combine like terms: 1.663016837 + 1.125 = 2.788016837
i18 = 2.788016837

Simplifying
i18 = 2.788016837

Reorder the terms:
-2.788016837 + i18 = 2.788016837 + -2.788016837

Combine like terms: 2.788016837 + -2.788016837 = 0.000000000
-2.788016837 + i18 = 0.000000000

The solution to this equation could not be determined.This subproblem is being ignored because a solution could not be determined.


Subproblem 2
i18 + -1.125 = -1.663016837

Simplifying
i18 + -1.125 = -1.663016837

Reorder the terms:
-1.125 + i18 = -1.663016837

Solving
-1.125 + i18 = -1.663016837

Solving for variable 'i'.

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

Add '1.125' to each side of the equation.
-1.125 + 1.125 + i18 = -1.663016837 + 1.125

Combine like terms: -1.125 + 1.125 = 0.000
0.000 + i18 = -1.663016837 + 1.125
i18 = -1.663016837 + 1.125

Combine like terms: -1.663016837 + 1.125 = -0.538016837
i18 = -0.538016837

Simplifying
i18 = -0.538016837

Reorder the terms:
0.538016837 + i18 = -0.538016837 + 0.538016837

Combine like terms: -0.538016837 + 0.538016837 = 0.000000000
0.538016837 + i18 = 0.000000000

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.

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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