(x^2-6x+9)(x^2-4-4i)=f(x)

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Solution for (x^2-6x+9)(x^2-4-4i)=f(x) equation: 


Simplifying
(x2 + -6x + 9)(x2 + -4 + -4i) = f(x)

Reorder the terms:
(9 + -6x + x2)(x2 + -4 + -4i) = f(x)

Reorder the terms:
(9 + -6x + x2)(-4 + -4i + x2) = f(x)

Multiply (9 + -6x + x2) * (-4 + -4i + x2)
(9(-4 + -4i + x2) + -6x * (-4 + -4i + x2) + x2(-4 + -4i + x2)) = f(x)
((-4 * 9 + -4i * 9 + x2 * 9) + -6x * (-4 + -4i + x2) + x2(-4 + -4i + x2)) = f(x)
((-36 + -36i + 9x2) + -6x * (-4 + -4i + x2) + x2(-4 + -4i + x2)) = f(x)
(-36 + -36i + 9x2 + (-4 * -6x + -4i * -6x + x2 * -6x) + x2(-4 + -4i + x2)) = f(x)

Reorder the terms:
(-36 + -36i + 9x2 + (24ix + 24x + -6x3) + x2(-4 + -4i + x2)) = f(x)
(-36 + -36i + 9x2 + (24ix + 24x + -6x3) + x2(-4 + -4i + x2)) = f(x)
(-36 + -36i + 9x2 + 24ix + 24x + -6x3 + (-4 * x2 + -4i * x2 + x2 * x2)) = f(x)

Reorder the terms:
(-36 + -36i + 9x2 + 24ix + 24x + -6x3 + (-4ix2 + -4x2 + x4)) = f(x)
(-36 + -36i + 9x2 + 24ix + 24x + -6x3 + (-4ix2 + -4x2 + x4)) = f(x)

Reorder the terms:
(-36 + -36i + 24ix + -4ix2 + 24x + 9x2 + -4x2 + -6x3 + x4) = f(x)

Combine like terms: 9x2 + -4x2 = 5x2
(-36 + -36i + 24ix + -4ix2 + 24x + 5x2 + -6x3 + x4) = f(x)

Multiply f * x
-36 + -36i + 24ix + -4ix2 + 24x + 5x2 + -6x3 + x4 = fx

Solving
-36 + -36i + 24ix + -4ix2 + 24x + 5x2 + -6x3 + x4 = fx

Solving for variable 'i'.

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

Add '36' to each side of the equation.
-36 + -36i + 24ix + -4ix2 + 24x + 5x2 + -6x3 + 36 + x4 = 36 + fx

Reorder the terms:
-36 + 36 + -36i + 24ix + -4ix2 + 24x + 5x2 + -6x3 + x4 = 36 + fx

Combine like terms: -36 + 36 = 0
0 + -36i + 24ix + -4ix2 + 24x + 5x2 + -6x3 + x4 = 36 + fx
-36i + 24ix + -4ix2 + 24x + 5x2 + -6x3 + x4 = 36 + fx

Add '-24x' to each side of the equation.
-36i + 24ix + -4ix2 + 24x + 5x2 + -6x3 + -24x + x4 = 36 + fx + -24x

Reorder the terms:
-36i + 24ix + -4ix2 + 24x + -24x + 5x2 + -6x3 + x4 = 36 + fx + -24x

Combine like terms: 24x + -24x = 0
-36i + 24ix + -4ix2 + 0 + 5x2 + -6x3 + x4 = 36 + fx + -24x
-36i + 24ix + -4ix2 + 5x2 + -6x3 + x4 = 36 + fx + -24x

Add '-5x2' to each side of the equation.
-36i + 24ix + -4ix2 + 5x2 + -6x3 + -5x2 + x4 = 36 + fx + -24x + -5x2

Reorder the terms:
-36i + 24ix + -4ix2 + 5x2 + -5x2 + -6x3 + x4 = 36 + fx + -24x + -5x2

Combine like terms: 5x2 + -5x2 = 0
-36i + 24ix + -4ix2 + 0 + -6x3 + x4 = 36 + fx + -24x + -5x2
-36i + 24ix + -4ix2 + -6x3 + x4 = 36 + fx + -24x + -5x2

Add '6x3' to each side of the equation.
-36i + 24ix + -4ix2 + -6x3 + 6x3 + x4 = 36 + fx + -24x + -5x2 + 6x3

Combine like terms: -6x3 + 6x3 = 0
-36i + 24ix + -4ix2 + 0 + x4 = 36 + fx + -24x + -5x2 + 6x3
-36i + 24ix + -4ix2 + x4 = 36 + fx + -24x + -5x2 + 6x3

Add '-1x4' to each side of the equation.
-36i + 24ix + -4ix2 + x4 + -1x4 = 36 + fx + -24x + -5x2 + 6x3 + -1x4

Combine like terms: x4 + -1x4 = 0
-36i + 24ix + -4ix2 + 0 = 36 + fx + -24x + -5x2 + 6x3 + -1x4
-36i + 24ix + -4ix2 = 36 + fx + -24x + -5x2 + 6x3 + -1x4

Reorder the terms:
-36 + -1fx + -36i + 24ix + -4ix2 + 24x + 5x2 + -6x3 + x4 = 36 + fx + -24x + -5x2 + 6x3 + -1x4 + -36 + -1fx + 24x + 5x2 + -6x3 + x4

Reorder the terms:
-36 + -1fx + -36i + 24ix + -4ix2 + 24x + 5x2 + -6x3 + x4 = 36 + -36 + fx + -1fx + -24x + 24x + -5x2 + 5x2 + 6x3 + -6x3 + -1x4 + x4

Combine like terms: 36 + -36 = 0
-36 + -1fx + -36i + 24ix + -4ix2 + 24x + 5x2 + -6x3 + x4 = 0 + fx + -1fx + -24x + 24x + -5x2 + 5x2 + 6x3 + -6x3 + -1x4 + x4
-36 + -1fx + -36i + 24ix + -4ix2 + 24x + 5x2 + -6x3 + x4 = fx + -1fx + -24x + 24x + -5x2 + 5x2 + 6x3 + -6x3 + -1x4 + x4

Combine like terms: fx + -1fx = 0
-36 + -1fx + -36i + 24ix + -4ix2 + 24x + 5x2 + -6x3 + x4 = 0 + -24x + 24x + -5x2 + 5x2 + 6x3 + -6x3 + -1x4 + x4
-36 + -1fx + -36i + 24ix + -4ix2 + 24x + 5x2 + -6x3 + x4 = -24x + 24x + -5x2 + 5x2 + 6x3 + -6x3 + -1x4 + x4

Combine like terms: -24x + 24x = 0
-36 + -1fx + -36i + 24ix + -4ix2 + 24x + 5x2 + -6x3 + x4 = 0 + -5x2 + 5x2 + 6x3 + -6x3 + -1x4 + x4
-36 + -1fx + -36i + 24ix + -4ix2 + 24x + 5x2 + -6x3 + x4 = -5x2 + 5x2 + 6x3 + -6x3 + -1x4 + x4

Combine like terms: -5x2 + 5x2 = 0
-36 + -1fx + -36i + 24ix + -4ix2 + 24x + 5x2 + -6x3 + x4 = 0 + 6x3 + -6x3 + -1x4 + x4
-36 + -1fx + -36i + 24ix + -4ix2 + 24x + 5x2 + -6x3 + x4 = 6x3 + -6x3 + -1x4 + x4

Combine like terms: 6x3 + -6x3 = 0
-36 + -1fx + -36i + 24ix + -4ix2 + 24x + 5x2 + -6x3 + x4 = 0 + -1x4 + x4
-36 + -1fx + -36i + 24ix + -4ix2 + 24x + 5x2 + -6x3 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
-36 + -1fx + -36i + 24ix + -4ix2 + 24x + 5x2 + -6x3 + x4 = 0

The solution to this equation could not be determined.

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