(x-3-4i)(x-3+4)=

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Solution for (x-3-4i)(x-3+4)= equation: 


Simplifying
(x + -3 + -4i)(x + -3 + 4) = 0

Reorder the terms:
(-3 + -4i + x)(x + -3 + 4) = 0

Reorder the terms:
(-3 + -4i + x)(-3 + 4 + x) = 0

Combine like terms: -3 + 4 = 1
(-3 + -4i + x)(1 + x) = 0

Multiply (-3 + -4i + x) * (1 + x)
(-3(1 + x) + -4i * (1 + x) + x(1 + x)) = 0
((1 * -3 + x * -3) + -4i * (1 + x) + x(1 + x)) = 0
((-3 + -3x) + -4i * (1 + x) + x(1 + x)) = 0
(-3 + -3x + (1 * -4i + x * -4i) + x(1 + x)) = 0
(-3 + -3x + (-4i + -4ix) + x(1 + x)) = 0
(-3 + -3x + -4i + -4ix + (1 * x + x * x)) = 0
(-3 + -3x + -4i + -4ix + (1x + x2)) = 0

Reorder the terms:
(-3 + -4i + -4ix + -3x + 1x + x2) = 0

Combine like terms: -3x + 1x = -2x
(-3 + -4i + -4ix + -2x + x2) = 0

Solving
-3 + -4i + -4ix + -2x + x2 = 0

Solving for variable 'i'.

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

Add '3' to each side of the equation.
-3 + -4i + -4ix + -2x + 3 + x2 = 0 + 3

Reorder the terms:
-3 + 3 + -4i + -4ix + -2x + x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4i + -4ix + -2x + x2 = 0 + 3
-4i + -4ix + -2x + x2 = 0 + 3

Combine like terms: 0 + 3 = 3
-4i + -4ix + -2x + x2 = 3

Add '2x' to each side of the equation.
-4i + -4ix + -2x + 2x + x2 = 3 + 2x

Combine like terms: -2x + 2x = 0
-4i + -4ix + 0 + x2 = 3 + 2x
-4i + -4ix + x2 = 3 + 2x

Add '-1x2' to each side of the equation.
-4i + -4ix + x2 + -1x2 = 3 + 2x + -1x2

Combine like terms: x2 + -1x2 = 0
-4i + -4ix + 0 = 3 + 2x + -1x2
-4i + -4ix = 3 + 2x + -1x2

Reorder the terms:
-3 + -4i + -4ix + -2x + x2 = 3 + 2x + -1x2 + -3 + -2x + x2

Reorder the terms:
-3 + -4i + -4ix + -2x + x2 = 3 + -3 + 2x + -2x + -1x2 + x2

Combine like terms: 3 + -3 = 0
-3 + -4i + -4ix + -2x + x2 = 0 + 2x + -2x + -1x2 + x2
-3 + -4i + -4ix + -2x + x2 = 2x + -2x + -1x2 + x2

Combine like terms: 2x + -2x = 0
-3 + -4i + -4ix + -2x + x2 = 0 + -1x2 + x2
-3 + -4i + -4ix + -2x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-3 + -4i + -4ix + -2x + x2 = 0

The solution to this equation could not be determined.

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