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

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Solution for (x-4+3i)(x-4-3i)(x-3)(x-3)=0 equation:

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

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

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

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

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

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

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

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

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

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

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

Combine like terms: -4x + -4x = -8x
(16 + -9i² + -8x + x²)(-3 + x)(-3 + x) = 0

Multiply (16 + -9i² + -8x + x²) * (-3 + x)
(16(-3 + x) + -9i² * (-3 + x) + -8x * (-3 + x) + x²(-3 + x))(-3 + x) = 0
((-3 * 16 + x * 16) + -9i² * (-3 + x) + -8x * (-3 + x) + x²(-3 + x))(-3 + x) = 0
((-48 + 16x) + -9i² * (-3 + x) + -8x * (-3 + x) + x²(-3 + x))(-3 + x) = 0
(-48 + 16x + (-3 * -9i² + x * -9i²) + -8x * (-3 + x) + x²(-3 + x))(-3 + x) = 0
(-48 + 16x + (27i² + -9i²x) + -8x * (-3 + x) + x²(-3 + x))(-3 + x) = 0
(-48 + 16x + 27i² + -9i²x + (-3 * -8x + x * -8x) + x²(-3 + x))(-3 + x) = 0
(-48 + 16x + 27i² + -9i²x + (24x + -8x²) + x²(-3 + x))(-3 + x) = 0
(-48 + 16x + 27i² + -9i²x + 24x + -8x² + (-3 * x² + x * x²))(-3 + x) = 0
(-48 + 16x + 27i² + -9i²x + 24x + -8x² + (-3x² + x³))(-3 + x) = 0

Reorder the terms:
(-48 + 27i² + -9i²x + 16x + 24x + -8x² + -3x² + x³)(-3 + x) = 0

Combine like terms: 16x + 24x = 40x
(-48 + 27i² + -9i²x + 40x + -8x² + -3x² + x³)(-3 + x) = 0

Combine like terms: -8x² + -3x² = -11x²
(-48 + 27i² + -9i²x + 40x + -11x² + x³)(-3 + x) = 0

Multiply (-48 + 27i² + -9i²x + 40x + -11x² + x³) * (-3 + x)
(-48(-3 + x) + 27i² * (-3 + x) + -9i²x * (-3 + x) + 40x * (-3 + x) + -11x² * (-3 + x) + x³(-3 + x)) = 0
((-3 * -48 + x * -48) + 27i² * (-3 + x) + -9i²x * (-3 + x) + 40x * (-3 + x) + -11x² * (-3 + x) + x³(-3 + x)) = 0
((144 + -48x) + 27i² * (-3 + x) + -9i²x * (-3 + x) + 40x * (-3 + x) + -11x² * (-3 + x) + x³(-3 + x)) = 0
(144 + -48x + (-3 * 27i² + x * 27i²) + -9i²x * (-3 + x) + 40x * (-3 + x) + -11x² * (-3 + x) + x³(-3 + x)) = 0
(144 + -48x + (-81i² + 27i²x) + -9i²x * (-3 + x) + 40x * (-3 + x) + -11x² * (-3 + x) + x³(-3 + x)) = 0
(144 + -48x + -81i² + 27i²x + (-3 * -9i²x + x * -9i²x) + 40x * (-3 + x) + -11x² * (-3 + x) + x³(-3 + x)) = 0
(144 + -48x + -81i² + 27i²x + (27i²x + -9i²x²) + 40x * (-3 + x) + -11x² * (-3 + x) + x³(-3 + x)) = 0
(144 + -48x + -81i² + 27i²x + 27i²x + -9i²x² + (-3 * 40x + x * 40x) + -11x² * (-3 + x) + x³(-3 + x)) = 0
(144 + -48x + -81i² + 27i²x + 27i²x + -9i²x² + (-120x + 40x²) + -11x² * (-3 + x) + x³(-3 + x)) = 0
(144 + -48x + -81i² + 27i²x + 27i²x + -9i²x² + -120x + 40x² + (-3 * -11x² + x * -11x²) + x³(-3 + x)) = 0
(144 + -48x + -81i² + 27i²x + 27i²x + -9i²x² + -120x + 40x² + (33x² + -11x³) + x³(-3 + x)) = 0
(144 + -48x + -81i² + 27i²x + 27i²x + -9i²x² + -120x + 40x² + 33x² + -11x³ + (-3 * x³ + x * x³)) = 0
(144 + -48x + -81i² + 27i²x + 27i²x + -9i²x² + -120x + 40x² + 33x² + -11x³ + (-3x³ + x⁴)) = 0

Reorder the terms:
(144 + -81i² + 27i²x + 27i²x + -9i²x² + -48x + -120x + 40x² + 33x² + -11x³ + -3x³ + x⁴) = 0

Combine like terms: 27i²x + 27i²x = 54i²x
(144 + -81i² + 54i²x + -9i²x² + -48x + -120x + 40x² + 33x² + -11x³ + -3x³ + x⁴) = 0

Combine like terms: -48x + -120x = -168x
(144 + -81i² + 54i²x + -9i²x² + -168x + 40x² + 33x² + -11x³ + -3x³ + x⁴) = 0

Combine like terms: 40x² + 33x² = 73x²
(144 + -81i² + 54i²x + -9i²x² + -168x + 73x² + -11x³ + -3x³ + x⁴) = 0

Combine like terms: -11x³ + -3x³ = -14x³
(144 + -81i² + 54i²x + -9i²x² + -168x + 73x² + -14x³ + x⁴) = 0

Solving
144 + -81i² + 54i²x + -9i²x² + -168x + 73x² + -14x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '-144' to each side of the equation.
144 + -81i² + 54i²x + -9i²x² + -168x + 73x² + -14x³ + -144 + x⁴ = 0 + -144

Reorder the terms:
144 + -144 + -81i² + 54i²x + -9i²x² + -168x + 73x² + -14x³ + x⁴ = 0 + -144

Combine like terms: 144 + -144 = 0
0 + -81i² + 54i²x + -9i²x² + -168x + 73x² + -14x³ + x⁴ = 0 + -144
-81i² + 54i²x + -9i²x² + -168x + 73x² + -14x³ + x⁴ = 0 + -144

Combine like terms: 0 + -144 = -144
-81i² + 54i²x + -9i²x² + -168x + 73x² + -14x³ + x⁴ = -144

Add '168x' to each side of the equation.
-81i² + 54i²x + -9i²x² + -168x + 73x² + -14x³ + 168x + x⁴ = -144 + 168x

Reorder the terms:
-81i² + 54i²x + -9i²x² + -168x + 168x + 73x² + -14x³ + x⁴ = -144 + 168x

Combine like terms: -168x + 168x = 0
-81i² + 54i²x + -9i²x² + 0 + 73x² + -14x³ + x⁴ = -144 + 168x
-81i² + 54i²x + -9i²x² + 73x² + -14x³ + x⁴ = -144 + 168x

Add '-73x²' to each side of the equation.
-81i² + 54i²x + -9i²x² + 73x² + -14x³ + -73x² + x⁴ = -144 + 168x + -73x²

Reorder the terms:
-81i² + 54i²x + -9i²x² + 73x² + -73x² + -14x³ + x⁴ = -144 + 168x + -73x²

Combine like terms: 73x² + -73x² = 0
-81i² + 54i²x + -9i²x² + 0 + -14x³ + x⁴ = -144 + 168x + -73x²
-81i² + 54i²x + -9i²x² + -14x³ + x⁴ = -144 + 168x + -73x²

Add '14x³' to each side of the equation.
-81i² + 54i²x + -9i²x² + -14x³ + 14x³ + x⁴ = -144 + 168x + -73x² + 14x³

Combine like terms: -14x³ + 14x³ = 0
-81i² + 54i²x + -9i²x² + 0 + x⁴ = -144 + 168x + -73x² + 14x³
-81i² + 54i²x + -9i²x² + x⁴ = -144 + 168x + -73x² + 14x³

Add '-1x⁴' to each side of the equation.
-81i² + 54i²x + -9i²x² + x⁴ + -1x⁴ = -144 + 168x + -73x² + 14x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
-81i² + 54i²x + -9i²x² + 0 = -144 + 168x + -73x² + 14x³ + -1x⁴
-81i² + 54i²x + -9i²x² = -144 + 168x + -73x² + 14x³ + -1x⁴

Reorder the terms:
144 + -81i² + 54i²x + -9i²x² + -168x + 73x² + -14x³ + x⁴ = -144 + 168x + -73x² + 14x³ + -1x⁴ + 144 + -168x + 73x² + -14x³ + x⁴

Reorder the terms:
144 + -81i² + 54i²x + -9i²x² + -168x + 73x² + -14x³ + x⁴ = -144 + 144 + 168x + -168x + -73x² + 73x² + 14x³ + -14x³ + -1x⁴ + x⁴

Combine like terms: -144 + 144 = 0
144 + -81i² + 54i²x + -9i²x² + -168x + 73x² + -14x³ + x⁴ = 0 + 168x + -168x + -73x² + 73x² + 14x³ + -14x³ + -1x⁴ + x⁴
144 + -81i² + 54i²x + -9i²x² + -168x + 73x² + -14x³ + x⁴ = 168x + -168x + -73x² + 73x² + 14x³ + -14x³ + -1x⁴ + x⁴

Combine like terms: 168x + -168x = 0
144 + -81i² + 54i²x + -9i²x² + -168x + 73x² + -14x³ + x⁴ = 0 + -73x² + 73x² + 14x³ + -14x³ + -1x⁴ + x⁴
144 + -81i² + 54i²x + -9i²x² + -168x + 73x² + -14x³ + x⁴ = -73x² + 73x² + 14x³ + -14x³ + -1x⁴ + x⁴

Combine like terms: -73x² + 73x² = 0
144 + -81i² + 54i²x + -9i²x² + -168x + 73x² + -14x³ + x⁴ = 0 + 14x³ + -14x³ + -1x⁴ + x⁴
144 + -81i² + 54i²x + -9i²x² + -168x + 73x² + -14x³ + x⁴ = 14x³ + -14x³ + -1x⁴ + x⁴

Combine like terms: 14x³ + -14x³ = 0
144 + -81i² + 54i²x + -9i²x² + -168x + 73x² + -14x³ + x⁴ = 0 + -1x⁴ + x⁴
144 + -81i² + 54i²x + -9i²x² + -168x + 73x² + -14x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
144 + -81i² + 54i²x + -9i²x² + -168x + 73x² + -14x³ + x⁴ = 0

The solution to this equation could not be determined.

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

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

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