(x-(2+5i))(x-(2-5i))(x+14)(x-4)=0

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Solution for (x-(2+5i))(x-(2-5i))(x+14)(x-4)=0 equation:

Simplifying
(x + -1(2 + 5i))(x + -1(2 + -5i))(x + 14)(x + -4) = 0
(x + (2 * -1 + 5i * -1))(x + -1(2 + -5i))(x + 14)(x + -4) = 0
(x + (-2 + -5i))(x + -1(2 + -5i))(x + 14)(x + -4) = 0

Reorder the terms:
(-2 + -5i + x)(x + -1(2 + -5i))(x + 14)(x + -4) = 0
(-2 + -5i + x)(x + (2 * -1 + -5i * -1))(x + 14)(x + -4) = 0
(-2 + -5i + x)(x + (-2 + 5i))(x + 14)(x + -4) = 0

Reorder the terms:
(-2 + -5i + x)(-2 + 5i + x)(x + 14)(x + -4) = 0

Reorder the terms:
(-2 + -5i + x)(-2 + 5i + x)(14 + x)(x + -4) = 0

Reorder the terms:
(-2 + -5i + x)(-2 + 5i + x)(14 + x)(-4 + x) = 0

Multiply (-2 + -5i + x) * (-2 + 5i + x)
(-2(-2 + 5i + x) + -5i * (-2 + 5i + x) + x(-2 + 5i + x))(14 + x)(-4 + x) = 0
((-2 * -2 + 5i * -2 + x * -2) + -5i * (-2 + 5i + x) + x(-2 + 5i + x))(14 + x)(-4 + x) = 0
((4 + -10i + -2x) + -5i * (-2 + 5i + x) + x(-2 + 5i + x))(14 + x)(-4 + x) = 0
(4 + -10i + -2x + (-2 * -5i + 5i * -5i + x * -5i) + x(-2 + 5i + x))(14 + x)(-4 + x) = 0

Reorder the terms:
(4 + -10i + -2x + (10i + -5ix + -25i²) + x(-2 + 5i + x))(14 + x)(-4 + x) = 0
(4 + -10i + -2x + (10i + -5ix + -25i²) + x(-2 + 5i + x))(14 + x)(-4 + x) = 0
(4 + -10i + -2x + 10i + -5ix + -25i² + (-2 * x + 5i * x + x * x))(14 + x)(-4 + x) = 0

Reorder the terms:
(4 + -10i + -2x + 10i + -5ix + -25i² + (5ix + -2x + x²))(14 + x)(-4 + x) = 0
(4 + -10i + -2x + 10i + -5ix + -25i² + (5ix + -2x + x²))(14 + x)(-4 + x) = 0

Reorder the terms:
(4 + -10i + 10i + -5ix + 5ix + -25i² + -2x + -2x + x²)(14 + x)(-4 + x) = 0

Combine like terms: -10i + 10i = 0
(4 + 0 + -5ix + 5ix + -25i² + -2x + -2x + x²)(14 + x)(-4 + x) = 0
(4 + -5ix + 5ix + -25i² + -2x + -2x + x²)(14 + x)(-4 + x) = 0

Combine like terms: -5ix + 5ix = 0
(4 + 0 + -25i² + -2x + -2x + x²)(14 + x)(-4 + x) = 0
(4 + -25i² + -2x + -2x + x²)(14 + x)(-4 + x) = 0

Combine like terms: -2x + -2x = -4x
(4 + -25i² + -4x + x²)(14 + x)(-4 + x) = 0

Multiply (4 + -25i² + -4x + x²) * (14 + x)
(4(14 + x) + -25i² * (14 + x) + -4x * (14 + x) + x²(14 + x))(-4 + x) = 0
((14 * 4 + x * 4) + -25i² * (14 + x) + -4x * (14 + x) + x²(14 + x))(-4 + x) = 0
((56 + 4x) + -25i² * (14 + x) + -4x * (14 + x) + x²(14 + x))(-4 + x) = 0
(56 + 4x + (14 * -25i² + x * -25i²) + -4x * (14 + x) + x²(14 + x))(-4 + x) = 0
(56 + 4x + (-350i² + -25i²x) + -4x * (14 + x) + x²(14 + x))(-4 + x) = 0
(56 + 4x + -350i² + -25i²x + (14 * -4x + x * -4x) + x²(14 + x))(-4 + x) = 0
(56 + 4x + -350i² + -25i²x + (-56x + -4x²) + x²(14 + x))(-4 + x) = 0
(56 + 4x + -350i² + -25i²x + -56x + -4x² + (14 * x² + x * x²))(-4 + x) = 0
(56 + 4x + -350i² + -25i²x + -56x + -4x² + (14x² + x³))(-4 + x) = 0

Reorder the terms:
(56 + -350i² + -25i²x + 4x + -56x + -4x² + 14x² + x³)(-4 + x) = 0

Combine like terms: 4x + -56x = -52x
(56 + -350i² + -25i²x + -52x + -4x² + 14x² + x³)(-4 + x) = 0

Combine like terms: -4x² + 14x² = 10x²
(56 + -350i² + -25i²x + -52x + 10x² + x³)(-4 + x) = 0

Multiply (56 + -350i² + -25i²x + -52x + 10x² + x³) * (-4 + x)
(56(-4 + x) + -350i² * (-4 + x) + -25i²x * (-4 + x) + -52x * (-4 + x) + 10x² * (-4 + x) + x³(-4 + x)) = 0
((-4 * 56 + x * 56) + -350i² * (-4 + x) + -25i²x * (-4 + x) + -52x * (-4 + x) + 10x² * (-4 + x) + x³(-4 + x)) = 0
((-224 + 56x) + -350i² * (-4 + x) + -25i²x * (-4 + x) + -52x * (-4 + x) + 10x² * (-4 + x) + x³(-4 + x)) = 0
(-224 + 56x + (-4 * -350i² + x * -350i²) + -25i²x * (-4 + x) + -52x * (-4 + x) + 10x² * (-4 + x) + x³(-4 + x)) = 0
(-224 + 56x + (1400i² + -350i²x) + -25i²x * (-4 + x) + -52x * (-4 + x) + 10x² * (-4 + x) + x³(-4 + x)) = 0
(-224 + 56x + 1400i² + -350i²x + (-4 * -25i²x + x * -25i²x) + -52x * (-4 + x) + 10x² * (-4 + x) + x³(-4 + x)) = 0
(-224 + 56x + 1400i² + -350i²x + (100i²x + -25i²x²) + -52x * (-4 + x) + 10x² * (-4 + x) + x³(-4 + x)) = 0
(-224 + 56x + 1400i² + -350i²x + 100i²x + -25i²x² + (-4 * -52x + x * -52x) + 10x² * (-4 + x) + x³(-4 + x)) = 0
(-224 + 56x + 1400i² + -350i²x + 100i²x + -25i²x² + (208x + -52x²) + 10x² * (-4 + x) + x³(-4 + x)) = 0
(-224 + 56x + 1400i² + -350i²x + 100i²x + -25i²x² + 208x + -52x² + (-4 * 10x² + x * 10x²) + x³(-4 + x)) = 0
(-224 + 56x + 1400i² + -350i²x + 100i²x + -25i²x² + 208x + -52x² + (-40x² + 10x³) + x³(-4 + x)) = 0
(-224 + 56x + 1400i² + -350i²x + 100i²x + -25i²x² + 208x + -52x² + -40x² + 10x³ + (-4 * x³ + x * x³)) = 0
(-224 + 56x + 1400i² + -350i²x + 100i²x + -25i²x² + 208x + -52x² + -40x² + 10x³ + (-4x³ + x⁴)) = 0

Reorder the terms:
(-224 + 1400i² + -350i²x + 100i²x + -25i²x² + 56x + 208x + -52x² + -40x² + 10x³ + -4x³ + x⁴) = 0

Combine like terms: -350i²x + 100i²x = -250i²x
(-224 + 1400i² + -250i²x + -25i²x² + 56x + 208x + -52x² + -40x² + 10x³ + -4x³ + x⁴) = 0

Combine like terms: 56x + 208x = 264x
(-224 + 1400i² + -250i²x + -25i²x² + 264x + -52x² + -40x² + 10x³ + -4x³ + x⁴) = 0

Combine like terms: -52x² + -40x² = -92x²
(-224 + 1400i² + -250i²x + -25i²x² + 264x + -92x² + 10x³ + -4x³ + x⁴) = 0

Combine like terms: 10x³ + -4x³ = 6x³
(-224 + 1400i² + -250i²x + -25i²x² + 264x + -92x² + 6x³ + x⁴) = 0

Solving
-224 + 1400i² + -250i²x + -25i²x² + 264x + -92x² + 6x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '224' to each side of the equation.
-224 + 1400i² + -250i²x + -25i²x² + 264x + -92x² + 6x³ + 224 + x⁴ = 0 + 224

Reorder the terms:
-224 + 224 + 1400i² + -250i²x + -25i²x² + 264x + -92x² + 6x³ + x⁴ = 0 + 224

Combine like terms: -224 + 224 = 0
0 + 1400i² + -250i²x + -25i²x² + 264x + -92x² + 6x³ + x⁴ = 0 + 224
1400i² + -250i²x + -25i²x² + 264x + -92x² + 6x³ + x⁴ = 0 + 224

Combine like terms: 0 + 224 = 224
1400i² + -250i²x + -25i²x² + 264x + -92x² + 6x³ + x⁴ = 224

Add '-264x' to each side of the equation.
1400i² + -250i²x + -25i²x² + 264x + -92x² + 6x³ + -264x + x⁴ = 224 + -264x

Reorder the terms:
1400i² + -250i²x + -25i²x² + 264x + -264x + -92x² + 6x³ + x⁴ = 224 + -264x

Combine like terms: 264x + -264x = 0
1400i² + -250i²x + -25i²x² + 0 + -92x² + 6x³ + x⁴ = 224 + -264x
1400i² + -250i²x + -25i²x² + -92x² + 6x³ + x⁴ = 224 + -264x

Add '92x²' to each side of the equation.
1400i² + -250i²x + -25i²x² + -92x² + 6x³ + 92x² + x⁴ = 224 + -264x + 92x²

Reorder the terms:
1400i² + -250i²x + -25i²x² + -92x² + 92x² + 6x³ + x⁴ = 224 + -264x + 92x²

Combine like terms: -92x² + 92x² = 0
1400i² + -250i²x + -25i²x² + 0 + 6x³ + x⁴ = 224 + -264x + 92x²
1400i² + -250i²x + -25i²x² + 6x³ + x⁴ = 224 + -264x + 92x²

Add '-6x³' to each side of the equation.
1400i² + -250i²x + -25i²x² + 6x³ + -6x³ + x⁴ = 224 + -264x + 92x² + -6x³

Combine like terms: 6x³ + -6x³ = 0
1400i² + -250i²x + -25i²x² + 0 + x⁴ = 224 + -264x + 92x² + -6x³
1400i² + -250i²x + -25i²x² + x⁴ = 224 + -264x + 92x² + -6x³

Add '-1x⁴' to each side of the equation.
1400i² + -250i²x + -25i²x² + x⁴ + -1x⁴ = 224 + -264x + 92x² + -6x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
1400i² + -250i²x + -25i²x² + 0 = 224 + -264x + 92x² + -6x³ + -1x⁴
1400i² + -250i²x + -25i²x² = 224 + -264x + 92x² + -6x³ + -1x⁴

Reorder the terms:
-224 + 1400i² + -250i²x + -25i²x² + 264x + -92x² + 6x³ + x⁴ = 224 + -264x + 92x² + -6x³ + -1x⁴ + -224 + 264x + -92x² + 6x³ + x⁴

Reorder the terms:
-224 + 1400i² + -250i²x + -25i²x² + 264x + -92x² + 6x³ + x⁴ = 224 + -224 + -264x + 264x + 92x² + -92x² + -6x³ + 6x³ + -1x⁴ + x⁴

Combine like terms: 224 + -224 = 0
-224 + 1400i² + -250i²x + -25i²x² + 264x + -92x² + 6x³ + x⁴ = 0 + -264x + 264x + 92x² + -92x² + -6x³ + 6x³ + -1x⁴ + x⁴
-224 + 1400i² + -250i²x + -25i²x² + 264x + -92x² + 6x³ + x⁴ = -264x + 264x + 92x² + -92x² + -6x³ + 6x³ + -1x⁴ + x⁴

Combine like terms: -264x + 264x = 0
-224 + 1400i² + -250i²x + -25i²x² + 264x + -92x² + 6x³ + x⁴ = 0 + 92x² + -92x² + -6x³ + 6x³ + -1x⁴ + x⁴
-224 + 1400i² + -250i²x + -25i²x² + 264x + -92x² + 6x³ + x⁴ = 92x² + -92x² + -6x³ + 6x³ + -1x⁴ + x⁴

Combine like terms: 92x² + -92x² = 0
-224 + 1400i² + -250i²x + -25i²x² + 264x + -92x² + 6x³ + x⁴ = 0 + -6x³ + 6x³ + -1x⁴ + x⁴
-224 + 1400i² + -250i²x + -25i²x² + 264x + -92x² + 6x³ + x⁴ = -6x³ + 6x³ + -1x⁴ + x⁴

Combine like terms: -6x³ + 6x³ = 0
-224 + 1400i² + -250i²x + -25i²x² + 264x + -92x² + 6x³ + x⁴ = 0 + -1x⁴ + x⁴
-224 + 1400i² + -250i²x + -25i²x² + 264x + -92x² + 6x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
-224 + 1400i² + -250i²x + -25i²x² + 264x + -92x² + 6x³ + x⁴ = 0

The solution to this equation could not be determined.

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(x-(2+5i))(x-(2-5i))(x+14)(x-4)=0

Simple and best practice solution for (x-(2+5i))(x-(2-5i))(x+14)(x-4)=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-(2+5i))(x-(2-5i))(x+14)(x-4)=0 equation:

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