(X(2+6i))(X(2-6i))=

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Solution for (X(2+6i))(X(2-6i))= equation: 


Simplifying
(X(2 + 6i))(X(2 + -6i)) = 0
((2 * X + 6i * X))(X(2 + -6i)) = 0
((2X + 6iX))(X(2 + -6i)) = 0
(2X + 6iX)((2 * X + -6i * X)) = 0
(2X + 6iX)((2X + -6iX)) = 0

Multiply (2X + 6iX) * (2X + -6iX)
(2X * (2X + -6iX) + 6iX * (2X + -6iX)) = 0
((2X * 2X + -6iX * 2X) + 6iX * (2X + -6iX)) = 0
((4X2 + -12iX2) + 6iX * (2X + -6iX)) = 0
(4X2 + -12iX2 + (2X * 6iX + -6iX * 6iX)) = 0
(4X2 + -12iX2 + (12iX2 + -36i2X2)) = 0

Combine like terms: -12iX2 + 12iX2 = 0
(4X2 + 0 + -36i2X2) = 0
(4X2 + -36i2X2) = 0

Solving
4X2 + -36i2X2 = 0

Solving for variable 'X'.

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

Factor out the Greatest Common Factor (GCF), '4X2'.
4X2(1 + -9i2) = 0

Factor a difference between two squares.
4X2((1 + 3i)(1 + -3i)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'X2' equal to zero and attempt to solve:

Simplifying
X2 = 0

Solving
X2 = 0

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

Simplifying
X2 = 0

Take the square root of each side:
X = {0}

Subproblem 2
Set the factor '(1 + 3i)' equal to zero and attempt to solve:

Simplifying
1 + 3i = 0

Solving
1 + 3i = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3i = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3i = 0 + -1
3i = 0 + -1

Combine like terms: 0 + -1 = -1
3i = -1

Add '-3i' to each side of the equation.
3i + -3i = -1 + -3i

Combine like terms: 3i + -3i = 0
0 = -1 + -3i

Simplifying
0 = -1 + -3i

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(1 + -3i)' equal to zero and attempt to solve:

Simplifying
1 + -3i = 0

Solving
1 + -3i = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3i = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3i = 0 + -1
-3i = 0 + -1

Combine like terms: 0 + -1 = -1
-3i = -1

Add '3i' to each side of the equation.
-3i + 3i = -1 + 3i

Combine like terms: -3i + 3i = 0
0 = -1 + 3i

Simplifying
0 = -1 + 3i

The solution to this equation could not be determined.

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

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