[x-(2-5i)][x-(2+5i)](x-4)(x-8)=y

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Solution for [x-(2-5i)][x-(2+5i)](x-4)(x-8)=y equation:

Simplifying
[x + -1(2 + -5i)][x + -1(2 + 5i)](x + -4)(x + -8) = y
[x + (2 * -1 + -5i * -1)][x + -1(2 + 5i)](x + -4)(x + -8) = y
[x + (-2 + 5i)][x + -1(2 + 5i)](x + -4)(x + -8) = y

Reorder the terms:
[-2 + 5i + x][x + -1(2 + 5i)](x + -4)(x + -8) = y
[-2 + 5i + x][x + (2 * -1 + 5i * -1)](x + -4)(x + -8) = y
[-2 + 5i + x][x + (-2 + -5i)](x + -4)(x + -8) = y

Reorder the terms:
[-2 + 5i + x][-2 + -5i + x](x + -4)(x + -8) = y

Reorder the terms:
[-2 + 5i + x][-2 + -5i + x](-4 + x)(x + -8) = y

Reorder the terms:
[-2 + 5i + x][-2 + -5i + x](-4 + x)(-8 + x) = y

Multiply [-2 + 5i + x] * [-2 + -5i + x]
[-2[-2 + -5i + x] + 5i * [-2 + -5i + x] + x[-2 + -5i + x]](-4 + x)(-8 + x) = y
[[-2 * -2 + -5i * -2 + x * -2] + 5i * [-2 + -5i + x] + x[-2 + -5i + x]](-4 + x)(-8 + x) = y
[[4 + 10i + -2x] + 5i * [-2 + -5i + x] + x[-2 + -5i + x]](-4 + x)(-8 + x) = y
[4 + 10i + -2x + [-2 * 5i + -5i * 5i + x * 5i] + x[-2 + -5i + x]](-4 + x)(-8 + x) = y

Reorder the terms:
[4 + 10i + -2x + [-10i + 5ix + -25i²] + x[-2 + -5i + x]](-4 + x)(-8 + x) = y
[4 + 10i + -2x + [-10i + 5ix + -25i²] + x[-2 + -5i + x]](-4 + x)(-8 + x) = y
[4 + 10i + -2x + -10i + 5ix + -25i² + [-2 * x + -5i * x + x * x]](-4 + x)(-8 + x) = y

Reorder the terms:
[4 + 10i + -2x + -10i + 5ix + -25i² + [-5ix + -2x + x²]](-4 + x)(-8 + x) = y
[4 + 10i + -2x + -10i + 5ix + -25i² + [-5ix + -2x + x²]](-4 + x)(-8 + x) = y

Reorder the terms:
[4 + 10i + -10i + 5ix + -5ix + -25i² + -2x + -2x + x²](-4 + x)(-8 + x) = y

Combine like terms: 10i + -10i = 0
[4 + 0 + 5ix + -5ix + -25i² + -2x + -2x + x²](-4 + x)(-8 + x) = y
[4 + 5ix + -5ix + -25i² + -2x + -2x + x²](-4 + x)(-8 + x) = y

Combine like terms: 5ix + -5ix = 0
[4 + 0 + -25i² + -2x + -2x + x²](-4 + x)(-8 + x) = y
[4 + -25i² + -2x + -2x + x²](-4 + x)(-8 + x) = y

Combine like terms: -2x + -2x = -4x
[4 + -25i² + -4x + x²](-4 + x)(-8 + x) = y

Multiply [4 + -25i² + -4x + x²] * (-4 + x)
[4(-4 + x) + -25i² * (-4 + x) + -4x * (-4 + x) + x²(-4 + x)](-8 + x) = y
[(-4 * 4 + x * 4) + -25i² * (-4 + x) + -4x * (-4 + x) + x²(-4 + x)](-8 + x) = y
[(-16 + 4x) + -25i² * (-4 + x) + -4x * (-4 + x) + x²(-4 + x)](-8 + x) = y
[-16 + 4x + (-4 * -25i² + x * -25i²) + -4x * (-4 + x) + x²(-4 + x)](-8 + x) = y
[-16 + 4x + (100i² + -25i²x) + -4x * (-4 + x) + x²(-4 + x)](-8 + x) = y
[-16 + 4x + 100i² + -25i²x + (-4 * -4x + x * -4x) + x²(-4 + x)](-8 + x) = y
[-16 + 4x + 100i² + -25i²x + (16x + -4x²) + x²(-4 + x)](-8 + x) = y
[-16 + 4x + 100i² + -25i²x + 16x + -4x² + (-4 * x² + x * x²)](-8 + x) = y
[-16 + 4x + 100i² + -25i²x + 16x + -4x² + (-4x² + x³)](-8 + x) = y

Reorder the terms:
[-16 + 100i² + -25i²x + 4x + 16x + -4x² + -4x² + x³](-8 + x) = y

Combine like terms: 4x + 16x = 20x
[-16 + 100i² + -25i²x + 20x + -4x² + -4x² + x³](-8 + x) = y

Combine like terms: -4x² + -4x² = -8x²
[-16 + 100i² + -25i²x + 20x + -8x² + x³](-8 + x) = y

Multiply [-16 + 100i² + -25i²x + 20x + -8x² + x³] * (-8 + x)
[-16(-8 + x) + 100i² * (-8 + x) + -25i²x * (-8 + x) + 20x * (-8 + x) + -8x² * (-8 + x) + x³(-8 + x)] = y
[(-8 * -16 + x * -16) + 100i² * (-8 + x) + -25i²x * (-8 + x) + 20x * (-8 + x) + -8x² * (-8 + x) + x³(-8 + x)] = y
[(128 + -16x) + 100i² * (-8 + x) + -25i²x * (-8 + x) + 20x * (-8 + x) + -8x² * (-8 + x) + x³(-8 + x)] = y
[128 + -16x + (-8 * 100i² + x * 100i²) + -25i²x * (-8 + x) + 20x * (-8 + x) + -8x² * (-8 + x) + x³(-8 + x)] = y
[128 + -16x + (-800i² + 100i²x) + -25i²x * (-8 + x) + 20x * (-8 + x) + -8x² * (-8 + x) + x³(-8 + x)] = y
[128 + -16x + -800i² + 100i²x + (-8 * -25i²x + x * -25i²x) + 20x * (-8 + x) + -8x² * (-8 + x) + x³(-8 + x)] = y
[128 + -16x + -800i² + 100i²x + (200i²x + -25i²x²) + 20x * (-8 + x) + -8x² * (-8 + x) + x³(-8 + x)] = y
[128 + -16x + -800i² + 100i²x + 200i²x + -25i²x² + (-8 * 20x + x * 20x) + -8x² * (-8 + x) + x³(-8 + x)] = y
[128 + -16x + -800i² + 100i²x + 200i²x + -25i²x² + (-160x + 20x²) + -8x² * (-8 + x) + x³(-8 + x)] = y
[128 + -16x + -800i² + 100i²x + 200i²x + -25i²x² + -160x + 20x² + (-8 * -8x² + x * -8x²) + x³(-8 + x)] = y
[128 + -16x + -800i² + 100i²x + 200i²x + -25i²x² + -160x + 20x² + (64x² + -8x³) + x³(-8 + x)] = y
[128 + -16x + -800i² + 100i²x + 200i²x + -25i²x² + -160x + 20x² + 64x² + -8x³ + (-8 * x³ + x * x³)] = y
[128 + -16x + -800i² + 100i²x + 200i²x + -25i²x² + -160x + 20x² + 64x² + -8x³ + (-8x³ + x⁴)] = y

Reorder the terms:
[128 + -800i² + 100i²x + 200i²x + -25i²x² + -16x + -160x + 20x² + 64x² + -8x³ + -8x³ + x⁴] = y

Combine like terms: 100i²x + 200i²x = 300i²x
[128 + -800i² + 300i²x + -25i²x² + -16x + -160x + 20x² + 64x² + -8x³ + -8x³ + x⁴] = y

Combine like terms: -16x + -160x = -176x
[128 + -800i² + 300i²x + -25i²x² + -176x + 20x² + 64x² + -8x³ + -8x³ + x⁴] = y

Combine like terms: 20x² + 64x² = 84x²
[128 + -800i² + 300i²x + -25i²x² + -176x + 84x² + -8x³ + -8x³ + x⁴] = y

Combine like terms: -8x³ + -8x³ = -16x³
[128 + -800i² + 300i²x + -25i²x² + -176x + 84x² + -16x³ + x⁴] = y

Solving
128 + -800i² + 300i²x + -25i²x² + -176x + 84x² + -16x³ + x⁴ = y

Solving for variable 'i'.

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

Add '-128' to each side of the equation.
128 + -800i² + 300i²x + -25i²x² + -176x + 84x² + -16x³ + -128 + x⁴ = -128 + y

Reorder the terms:
128 + -128 + -800i² + 300i²x + -25i²x² + -176x + 84x² + -16x³ + x⁴ = -128 + y

Combine like terms: 128 + -128 = 0
0 + -800i² + 300i²x + -25i²x² + -176x + 84x² + -16x³ + x⁴ = -128 + y
-800i² + 300i²x + -25i²x² + -176x + 84x² + -16x³ + x⁴ = -128 + y

Add '176x' to each side of the equation.
-800i² + 300i²x + -25i²x² + -176x + 84x² + -16x³ + 176x + x⁴ = -128 + 176x + y

Reorder the terms:
-800i² + 300i²x + -25i²x² + -176x + 176x + 84x² + -16x³ + x⁴ = -128 + 176x + y

Combine like terms: -176x + 176x = 0
-800i² + 300i²x + -25i²x² + 0 + 84x² + -16x³ + x⁴ = -128 + 176x + y
-800i² + 300i²x + -25i²x² + 84x² + -16x³ + x⁴ = -128 + 176x + y

Add '-84x²' to each side of the equation.
-800i² + 300i²x + -25i²x² + 84x² + -16x³ + -84x² + x⁴ = -128 + 176x + -84x² + y

Reorder the terms:
-800i² + 300i²x + -25i²x² + 84x² + -84x² + -16x³ + x⁴ = -128 + 176x + -84x² + y

Combine like terms: 84x² + -84x² = 0
-800i² + 300i²x + -25i²x² + 0 + -16x³ + x⁴ = -128 + 176x + -84x² + y
-800i² + 300i²x + -25i²x² + -16x³ + x⁴ = -128 + 176x + -84x² + y

Add '16x³' to each side of the equation.
-800i² + 300i²x + -25i²x² + -16x³ + 16x³ + x⁴ = -128 + 176x + -84x² + 16x³ + y

Combine like terms: -16x³ + 16x³ = 0
-800i² + 300i²x + -25i²x² + 0 + x⁴ = -128 + 176x + -84x² + 16x³ + y
-800i² + 300i²x + -25i²x² + x⁴ = -128 + 176x + -84x² + 16x³ + y

Add '-1x⁴' to each side of the equation.
-800i² + 300i²x + -25i²x² + x⁴ + -1x⁴ = -128 + 176x + -84x² + 16x³ + -1x⁴ + y

Combine like terms: x⁴ + -1x⁴ = 0
-800i² + 300i²x + -25i²x² + 0 = -128 + 176x + -84x² + 16x³ + -1x⁴ + y
-800i² + 300i²x + -25i²x² = -128 + 176x + -84x² + 16x³ + -1x⁴ + y

Reorder the terms:
128 + -800i² + 300i²x + -25i²x² + -176x + 84x² + -16x³ + x⁴ + -1y = -128 + 176x + -84x² + 16x³ + -1x⁴ + y + 128 + -176x + 84x² + -16x³ + x⁴ + -1y

Reorder the terms:
128 + -800i² + 300i²x + -25i²x² + -176x + 84x² + -16x³ + x⁴ + -1y = -128 + 128 + 176x + -176x + -84x² + 84x² + 16x³ + -16x³ + -1x⁴ + x⁴ + y + -1y

Combine like terms: -128 + 128 = 0
128 + -800i² + 300i²x + -25i²x² + -176x + 84x² + -16x³ + x⁴ + -1y = 0 + 176x + -176x + -84x² + 84x² + 16x³ + -16x³ + -1x⁴ + x⁴ + y + -1y
128 + -800i² + 300i²x + -25i²x² + -176x + 84x² + -16x³ + x⁴ + -1y = 176x + -176x + -84x² + 84x² + 16x³ + -16x³ + -1x⁴ + x⁴ + y + -1y

Combine like terms: 176x + -176x = 0
128 + -800i² + 300i²x + -25i²x² + -176x + 84x² + -16x³ + x⁴ + -1y = 0 + -84x² + 84x² + 16x³ + -16x³ + -1x⁴ + x⁴ + y + -1y
128 + -800i² + 300i²x + -25i²x² + -176x + 84x² + -16x³ + x⁴ + -1y = -84x² + 84x² + 16x³ + -16x³ + -1x⁴ + x⁴ + y + -1y

Combine like terms: -84x² + 84x² = 0
128 + -800i² + 300i²x + -25i²x² + -176x + 84x² + -16x³ + x⁴ + -1y = 0 + 16x³ + -16x³ + -1x⁴ + x⁴ + y + -1y
128 + -800i² + 300i²x + -25i²x² + -176x + 84x² + -16x³ + x⁴ + -1y = 16x³ + -16x³ + -1x⁴ + x⁴ + y + -1y

Combine like terms: 16x³ + -16x³ = 0
128 + -800i² + 300i²x + -25i²x² + -176x + 84x² + -16x³ + x⁴ + -1y = 0 + -1x⁴ + x⁴ + y + -1y
128 + -800i² + 300i²x + -25i²x² + -176x + 84x² + -16x³ + x⁴ + -1y = -1x⁴ + x⁴ + y + -1y

Combine like terms: -1x⁴ + x⁴ = 0
128 + -800i² + 300i²x + -25i²x² + -176x + 84x² + -16x³ + x⁴ + -1y = 0 + y + -1y
128 + -800i² + 300i²x + -25i²x² + -176x + 84x² + -16x³ + x⁴ + -1y = y + -1y

Combine like terms: y + -1y = 0
128 + -800i² + 300i²x + -25i²x² + -176x + 84x² + -16x³ + x⁴ + -1y = 0

The solution to this equation could not be determined.

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[x-(2-5i)][x-(2+5i)](x-4)(x-8)=y

Simple and best practice solution for [x-(2-5i)][x-(2+5i)](x-4)(x-8)=y equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

Solution for [x-(2-5i)][x-(2+5i)](x-4)(x-8)=y equation:

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