(x-8)(x-5+i)=

Solution for (x-8)(x-5+i)= equation:

Simplifying
(x + -8)(x + -5 + i) = 0

Reorder the terms:
(-8 + x)(x + -5 + i) = 0

Reorder the terms:
(-8 + x)(-5 + i + x) = 0

Multiply (-8 + x) * (-5 + i + x)
(-8(-5 + i + x) + x(-5 + i + x)) = 0
((-5 * -8 + i * -8 + x * -8) + x(-5 + i + x)) = 0
((40 + -8i + -8x) + x(-5 + i + x)) = 0
(40 + -8i + -8x + (-5 * x + i * x + x * x)) = 0

Reorder the terms:
(40 + -8i + -8x + (ix + -5x + x2)) = 0
(40 + -8i + -8x + (ix + -5x + x2)) = 0

Reorder the terms:
(40 + -8i + ix + -8x + -5x + x2) = 0

Combine like terms: -8x + -5x = -13x
(40 + -8i + ix + -13x + x2) = 0

Solving
40 + -8i + ix + -13x + x2 = 0

Solving for variable 'i'.

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

Add '-40' to each side of the equation.
40 + -8i + ix + -13x + -40 + x2 = 0 + -40

Reorder the terms:
40 + -40 + -8i + ix + -13x + x2 = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -8i + ix + -13x + x2 = 0 + -40
-8i + ix + -13x + x2 = 0 + -40

Combine like terms: 0 + -40 = -40
-8i + ix + -13x + x2 = -40

Add '13x' to each side of the equation.
-8i + ix + -13x + 13x + x2 = -40 + 13x

Combine like terms: -13x + 13x = 0
-8i + ix + 0 + x2 = -40 + 13x
-8i + ix + x2 = -40 + 13x

Add '-1x2' to each side of the equation.
-8i + ix + x2 + -1x2 = -40 + 13x + -1x2

Combine like terms: x2 + -1x2 = 0
-8i + ix + 0 = -40 + 13x + -1x2
-8i + ix = -40 + 13x + -1x2

Reorder the terms:
40 + -8i + ix + -13x + x2 = -40 + 13x + -1x2 + 40 + -13x + x2

Reorder the terms:
40 + -8i + ix + -13x + x2 = -40 + 40 + 13x + -13x + -1x2 + x2

Combine like terms: -40 + 40 = 0
40 + -8i + ix + -13x + x2 = 0 + 13x + -13x + -1x2 + x2
40 + -8i + ix + -13x + x2 = 13x + -13x + -1x2 + x2

Combine like terms: 13x + -13x = 0
40 + -8i + ix + -13x + x2 = 0 + -1x2 + x2
40 + -8i + ix + -13x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
40 + -8i + ix + -13x + x2 = 0

The solution to this equation could not be determined.