(x+4-3i)(x+4+3i)(x^2-10x+25)=0

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Solution for (x+4-3i)(x+4+3i)(x^2-10x+25)=0 equation:

Simplifying
(x + 4 + -3i)(x + 4 + 3i)(x² + -10x + 25) = 0

Reorder the terms:
(4 + -3i + x)(x + 4 + 3i)(x² + -10x + 25) = 0

Reorder the terms:
(4 + -3i + x)(4 + 3i + x)(x² + -10x + 25) = 0

Reorder the terms:
(4 + -3i + x)(4 + 3i + x)(25 + -10x + x²) = 0

Multiply (4 + -3i + x) * (4 + 3i + x)
(4(4 + 3i + x) + -3i * (4 + 3i + x) + x(4 + 3i + x))(25 + -10x + x²) = 0
((4 * 4 + 3i * 4 + x * 4) + -3i * (4 + 3i + x) + x(4 + 3i + x))(25 + -10x + x²) = 0
((16 + 12i + 4x) + -3i * (4 + 3i + x) + x(4 + 3i + x))(25 + -10x + x²) = 0
(16 + 12i + 4x + (4 * -3i + 3i * -3i + x * -3i) + x(4 + 3i + x))(25 + -10x + x²) = 0

Reorder the terms:
(16 + 12i + 4x + (-12i + -3ix + -9i²) + x(4 + 3i + x))(25 + -10x + x²) = 0
(16 + 12i + 4x + (-12i + -3ix + -9i²) + x(4 + 3i + x))(25 + -10x + x²) = 0
(16 + 12i + 4x + -12i + -3ix + -9i² + (4 * x + 3i * x + x * x))(25 + -10x + x²) = 0

Reorder the terms:
(16 + 12i + 4x + -12i + -3ix + -9i² + (3ix + 4x + x²))(25 + -10x + x²) = 0
(16 + 12i + 4x + -12i + -3ix + -9i² + (3ix + 4x + x²))(25 + -10x + x²) = 0

Reorder the terms:
(16 + 12i + -12i + -3ix + 3ix + -9i² + 4x + 4x + x²)(25 + -10x + x²) = 0

Combine like terms: 12i + -12i = 0
(16 + 0 + -3ix + 3ix + -9i² + 4x + 4x + x²)(25 + -10x + x²) = 0
(16 + -3ix + 3ix + -9i² + 4x + 4x + x²)(25 + -10x + x²) = 0

Combine like terms: -3ix + 3ix = 0
(16 + 0 + -9i² + 4x + 4x + x²)(25 + -10x + x²) = 0
(16 + -9i² + 4x + 4x + x²)(25 + -10x + x²) = 0

Combine like terms: 4x + 4x = 8x
(16 + -9i² + 8x + x²)(25 + -10x + x²) = 0

Multiply (16 + -9i² + 8x + x²) * (25 + -10x + x²)
(16(25 + -10x + x²) + -9i² * (25 + -10x + x²) + 8x * (25 + -10x + x²) + x²(25 + -10x + x²)) = 0
((25 * 16 + -10x * 16 + x² * 16) + -9i² * (25 + -10x + x²) + 8x * (25 + -10x + x²) + x²(25 + -10x + x²)) = 0
((400 + -160x + 16x²) + -9i² * (25 + -10x + x²) + 8x * (25 + -10x + x²) + x²(25 + -10x + x²)) = 0
(400 + -160x + 16x² + (25 * -9i² + -10x * -9i² + x² * -9i²) + 8x * (25 + -10x + x²) + x²(25 + -10x + x²)) = 0
(400 + -160x + 16x² + (-225i² + 90i²x + -9i²x²) + 8x * (25 + -10x + x²) + x²(25 + -10x + x²)) = 0
(400 + -160x + 16x² + -225i² + 90i²x + -9i²x² + (25 * 8x + -10x * 8x + x² * 8x) + x²(25 + -10x + x²)) = 0
(400 + -160x + 16x² + -225i² + 90i²x + -9i²x² + (200x + -80x² + 8x³) + x²(25 + -10x + x²)) = 0
(400 + -160x + 16x² + -225i² + 90i²x + -9i²x² + 200x + -80x² + 8x³ + (25 * x² + -10x * x² + x² * x²)) = 0
(400 + -160x + 16x² + -225i² + 90i²x + -9i²x² + 200x + -80x² + 8x³ + (25x² + -10x³ + x⁴)) = 0

Reorder the terms:
(400 + -225i² + 90i²x + -9i²x² + -160x + 200x + 16x² + -80x² + 25x² + 8x³ + -10x³ + x⁴) = 0

Combine like terms: -160x + 200x = 40x
(400 + -225i² + 90i²x + -9i²x² + 40x + 16x² + -80x² + 25x² + 8x³ + -10x³ + x⁴) = 0

Combine like terms: 16x² + -80x² = -64x²
(400 + -225i² + 90i²x + -9i²x² + 40x + -64x² + 25x² + 8x³ + -10x³ + x⁴) = 0

Combine like terms: -64x² + 25x² = -39x²
(400 + -225i² + 90i²x + -9i²x² + 40x + -39x² + 8x³ + -10x³ + x⁴) = 0

Combine like terms: 8x³ + -10x³ = -2x³
(400 + -225i² + 90i²x + -9i²x² + 40x + -39x² + -2x³ + x⁴) = 0

Solving
400 + -225i² + 90i²x + -9i²x² + 40x + -39x² + -2x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '-400' to each side of the equation.
400 + -225i² + 90i²x + -9i²x² + 40x + -39x² + -2x³ + -400 + x⁴ = 0 + -400

Reorder the terms:
400 + -400 + -225i² + 90i²x + -9i²x² + 40x + -39x² + -2x³ + x⁴ = 0 + -400

Combine like terms: 400 + -400 = 0
0 + -225i² + 90i²x + -9i²x² + 40x + -39x² + -2x³ + x⁴ = 0 + -400
-225i² + 90i²x + -9i²x² + 40x + -39x² + -2x³ + x⁴ = 0 + -400

Combine like terms: 0 + -400 = -400
-225i² + 90i²x + -9i²x² + 40x + -39x² + -2x³ + x⁴ = -400

Add '-40x' to each side of the equation.
-225i² + 90i²x + -9i²x² + 40x + -39x² + -2x³ + -40x + x⁴ = -400 + -40x

Reorder the terms:
-225i² + 90i²x + -9i²x² + 40x + -40x + -39x² + -2x³ + x⁴ = -400 + -40x

Combine like terms: 40x + -40x = 0
-225i² + 90i²x + -9i²x² + 0 + -39x² + -2x³ + x⁴ = -400 + -40x
-225i² + 90i²x + -9i²x² + -39x² + -2x³ + x⁴ = -400 + -40x

Add '39x²' to each side of the equation.
-225i² + 90i²x + -9i²x² + -39x² + -2x³ + 39x² + x⁴ = -400 + -40x + 39x²

Reorder the terms:
-225i² + 90i²x + -9i²x² + -39x² + 39x² + -2x³ + x⁴ = -400 + -40x + 39x²

Combine like terms: -39x² + 39x² = 0
-225i² + 90i²x + -9i²x² + 0 + -2x³ + x⁴ = -400 + -40x + 39x²
-225i² + 90i²x + -9i²x² + -2x³ + x⁴ = -400 + -40x + 39x²

Add '2x³' to each side of the equation.
-225i² + 90i²x + -9i²x² + -2x³ + 2x³ + x⁴ = -400 + -40x + 39x² + 2x³

Combine like terms: -2x³ + 2x³ = 0
-225i² + 90i²x + -9i²x² + 0 + x⁴ = -400 + -40x + 39x² + 2x³
-225i² + 90i²x + -9i²x² + x⁴ = -400 + -40x + 39x² + 2x³

Add '-1x⁴' to each side of the equation.
-225i² + 90i²x + -9i²x² + x⁴ + -1x⁴ = -400 + -40x + 39x² + 2x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
-225i² + 90i²x + -9i²x² + 0 = -400 + -40x + 39x² + 2x³ + -1x⁴
-225i² + 90i²x + -9i²x² = -400 + -40x + 39x² + 2x³ + -1x⁴

Reorder the terms:
400 + -225i² + 90i²x + -9i²x² + 40x + -39x² + -2x³ + x⁴ = -400 + -40x + 39x² + 2x³ + -1x⁴ + 400 + 40x + -39x² + -2x³ + x⁴

Reorder the terms:
400 + -225i² + 90i²x + -9i²x² + 40x + -39x² + -2x³ + x⁴ = -400 + 400 + -40x + 40x + 39x² + -39x² + 2x³ + -2x³ + -1x⁴ + x⁴

Combine like terms: -400 + 400 = 0
400 + -225i² + 90i²x + -9i²x² + 40x + -39x² + -2x³ + x⁴ = 0 + -40x + 40x + 39x² + -39x² + 2x³ + -2x³ + -1x⁴ + x⁴
400 + -225i² + 90i²x + -9i²x² + 40x + -39x² + -2x³ + x⁴ = -40x + 40x + 39x² + -39x² + 2x³ + -2x³ + -1x⁴ + x⁴

Combine like terms: -40x + 40x = 0
400 + -225i² + 90i²x + -9i²x² + 40x + -39x² + -2x³ + x⁴ = 0 + 39x² + -39x² + 2x³ + -2x³ + -1x⁴ + x⁴
400 + -225i² + 90i²x + -9i²x² + 40x + -39x² + -2x³ + x⁴ = 39x² + -39x² + 2x³ + -2x³ + -1x⁴ + x⁴

Combine like terms: 39x² + -39x² = 0
400 + -225i² + 90i²x + -9i²x² + 40x + -39x² + -2x³ + x⁴ = 0 + 2x³ + -2x³ + -1x⁴ + x⁴
400 + -225i² + 90i²x + -9i²x² + 40x + -39x² + -2x³ + x⁴ = 2x³ + -2x³ + -1x⁴ + x⁴

Combine like terms: 2x³ + -2x³ = 0
400 + -225i² + 90i²x + -9i²x² + 40x + -39x² + -2x³ + x⁴ = 0 + -1x⁴ + x⁴
400 + -225i² + 90i²x + -9i²x² + 40x + -39x² + -2x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
400 + -225i² + 90i²x + -9i²x² + 40x + -39x² + -2x³ + x⁴ = 0

The solution to this equation could not be determined.

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(x+4-3i)(x+4+3i)(x^2-10x+25)=0

Simple and best practice solution for (x+4-3i)(x+4+3i)(x^2-10x+25)=0 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+4-3i)(x+4+3i)(x^2-10x+25)=0 equation:

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