(X-2)(x-5)(x+3)(x^2+1)=0

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Solution for (X-2)(x-5)(x+3)(x^2+1)=0 equation: 


Simplifying
(X + -2)(x + -5)(x + 3)(x2 + 1) = 0

Reorder the terms:
(-2 + X)(x + -5)(x + 3)(x2 + 1) = 0

Reorder the terms:
(-2 + X)(-5 + x)(x + 3)(x2 + 1) = 0

Reorder the terms:
(-2 + X)(-5 + x)(3 + x)(x2 + 1) = 0

Reorder the terms:
(-2 + X)(-5 + x)(3 + x)(1 + x2) = 0

Multiply (-2 + X) * (-5 + x)
(-2(-5 + x) + X(-5 + x))(3 + x)(1 + x2) = 0
((-5 * -2 + x * -2) + X(-5 + x))(3 + x)(1 + x2) = 0
((10 + -2x) + X(-5 + x))(3 + x)(1 + x2) = 0
(10 + -2x + (-5 * X + x * X))(3 + x)(1 + x2) = 0
(10 + -2x + (-5X + xX))(3 + x)(1 + x2) = 0

Reorder the terms:
(10 + -5X + -2x + xX)(3 + x)(1 + x2) = 0
(10 + -5X + -2x + xX)(3 + x)(1 + x2) = 0

Multiply (10 + -5X + -2x + xX) * (3 + x)
(10(3 + x) + -5X * (3 + x) + -2x * (3 + x) + xX(3 + x))(1 + x2) = 0
((3 * 10 + x * 10) + -5X * (3 + x) + -2x * (3 + x) + xX(3 + x))(1 + x2) = 0
((30 + 10x) + -5X * (3 + x) + -2x * (3 + x) + xX(3 + x))(1 + x2) = 0
(30 + 10x + (3 * -5X + x * -5X) + -2x * (3 + x) + xX(3 + x))(1 + x2) = 0
(30 + 10x + (-15X + -5xX) + -2x * (3 + x) + xX(3 + x))(1 + x2) = 0
(30 + 10x + -15X + -5xX + (3 * -2x + x * -2x) + xX(3 + x))(1 + x2) = 0
(30 + 10x + -15X + -5xX + (-6x + -2x2) + xX(3 + x))(1 + x2) = 0
(30 + 10x + -15X + -5xX + -6x + -2x2 + (3 * xX + x * xX))(1 + x2) = 0
(30 + 10x + -15X + -5xX + -6x + -2x2 + (3xX + x2X))(1 + x2) = 0

Reorder the terms:
(30 + -15X + 10x + -6x + -5xX + 3xX + -2x2 + x2X)(1 + x2) = 0

Combine like terms: 10x + -6x = 4x
(30 + -15X + 4x + -5xX + 3xX + -2x2 + x2X)(1 + x2) = 0

Combine like terms: -5xX + 3xX = -2xX
(30 + -15X + 4x + -2xX + -2x2 + x2X)(1 + x2) = 0

Multiply (30 + -15X + 4x + -2xX + -2x2 + x2X) * (1 + x2)
(30(1 + x2) + -15X * (1 + x2) + 4x * (1 + x2) + -2xX * (1 + x2) + -2x2 * (1 + x2) + x2X(1 + x2)) = 0
((1 * 30 + x2 * 30) + -15X * (1 + x2) + 4x * (1 + x2) + -2xX * (1 + x2) + -2x2 * (1 + x2) + x2X(1 + x2)) = 0
((30 + 30x2) + -15X * (1 + x2) + 4x * (1 + x2) + -2xX * (1 + x2) + -2x2 * (1 + x2) + x2X(1 + x2)) = 0
(30 + 30x2 + (1 * -15X + x2 * -15X) + 4x * (1 + x2) + -2xX * (1 + x2) + -2x2 * (1 + x2) + x2X(1 + x2)) = 0
(30 + 30x2 + (-15X + -15x2X) + 4x * (1 + x2) + -2xX * (1 + x2) + -2x2 * (1 + x2) + x2X(1 + x2)) = 0
(30 + 30x2 + -15X + -15x2X + (1 * 4x + x2 * 4x) + -2xX * (1 + x2) + -2x2 * (1 + x2) + x2X(1 + x2)) = 0
(30 + 30x2 + -15X + -15x2X + (4x + 4x3) + -2xX * (1 + x2) + -2x2 * (1 + x2) + x2X(1 + x2)) = 0
(30 + 30x2 + -15X + -15x2X + 4x + 4x3 + (1 * -2xX + x2 * -2xX) + -2x2 * (1 + x2) + x2X(1 + x2)) = 0
(30 + 30x2 + -15X + -15x2X + 4x + 4x3 + (-2xX + -2x3X) + -2x2 * (1 + x2) + x2X(1 + x2)) = 0
(30 + 30x2 + -15X + -15x2X + 4x + 4x3 + -2xX + -2x3X + (1 * -2x2 + x2 * -2x2) + x2X(1 + x2)) = 0
(30 + 30x2 + -15X + -15x2X + 4x + 4x3 + -2xX + -2x3X + (-2x2 + -2x4) + x2X(1 + x2)) = 0
(30 + 30x2 + -15X + -15x2X + 4x + 4x3 + -2xX + -2x3X + -2x2 + -2x4 + (1 * x2X + x2 * x2X)) = 0
(30 + 30x2 + -15X + -15x2X + 4x + 4x3 + -2xX + -2x3X + -2x2 + -2x4 + (1x2X + x4X)) = 0

Reorder the terms:
(30 + -15X + 4x + -2xX + 30x2 + -2x2 + -15x2X + 1x2X + 4x3 + -2x3X + -2x4 + x4X) = 0

Combine like terms: 30x2 + -2x2 = 28x2
(30 + -15X + 4x + -2xX + 28x2 + -15x2X + 1x2X + 4x3 + -2x3X + -2x4 + x4X) = 0

Combine like terms: -15x2X + 1x2X = -14x2X
(30 + -15X + 4x + -2xX + 28x2 + -14x2X + 4x3 + -2x3X + -2x4 + x4X) = 0

Solving
30 + -15X + 4x + -2xX + 28x2 + -14x2X + 4x3 + -2x3X + -2x4 + x4X = 0

Solving for variable 'X'.

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

Add '-30' to each side of the equation.
30 + -15X + 4x + -2xX + 28x2 + -14x2X + 4x3 + -2x3X + -2x4 + -30 + x4X = 0 + -30

Reorder the terms:
30 + -30 + -15X + 4x + -2xX + 28x2 + -14x2X + 4x3 + -2x3X + -2x4 + x4X = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -15X + 4x + -2xX + 28x2 + -14x2X + 4x3 + -2x3X + -2x4 + x4X = 0 + -30
-15X + 4x + -2xX + 28x2 + -14x2X + 4x3 + -2x3X + -2x4 + x4X = 0 + -30

Combine like terms: 0 + -30 = -30
-15X + 4x + -2xX + 28x2 + -14x2X + 4x3 + -2x3X + -2x4 + x4X = -30

Add '-4x' to each side of the equation.
-15X + 4x + -2xX + 28x2 + -14x2X + 4x3 + -2x3X + -2x4 + -4x + x4X = -30 + -4x

Reorder the terms:
-15X + 4x + -4x + -2xX + 28x2 + -14x2X + 4x3 + -2x3X + -2x4 + x4X = -30 + -4x

Combine like terms: 4x + -4x = 0
-15X + 0 + -2xX + 28x2 + -14x2X + 4x3 + -2x3X + -2x4 + x4X = -30 + -4x
-15X + -2xX + 28x2 + -14x2X + 4x3 + -2x3X + -2x4 + x4X = -30 + -4x

Add '-28x2' to each side of the equation.
-15X + -2xX + 28x2 + -14x2X + 4x3 + -2x3X + -2x4 + -28x2 + x4X = -30 + -4x + -28x2

Reorder the terms:
-15X + -2xX + 28x2 + -28x2 + -14x2X + 4x3 + -2x3X + -2x4 + x4X = -30 + -4x + -28x2

Combine like terms: 28x2 + -28x2 = 0
-15X + -2xX + 0 + -14x2X + 4x3 + -2x3X + -2x4 + x4X = -30 + -4x + -28x2
-15X + -2xX + -14x2X + 4x3 + -2x3X + -2x4 + x4X = -30 + -4x + -28x2

Add '-4x3' to each side of the equation.
-15X + -2xX + -14x2X + 4x3 + -2x3X + -2x4 + -4x3 + x4X = -30 + -4x + -28x2 + -4x3

Reorder the terms:
-15X + -2xX + -14x2X + 4x3 + -4x3 + -2x3X + -2x4 + x4X = -30 + -4x + -28x2 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-15X + -2xX + -14x2X + 0 + -2x3X + -2x4 + x4X = -30 + -4x + -28x2 + -4x3
-15X + -2xX + -14x2X + -2x3X + -2x4 + x4X = -30 + -4x + -28x2 + -4x3

Add '2x4' to each side of the equation.
-15X + -2xX + -14x2X + -2x3X + -2x4 + 2x4 + x4X = -30 + -4x + -28x2 + -4x3 + 2x4

Combine like terms: -2x4 + 2x4 = 0
-15X + -2xX + -14x2X + -2x3X + 0 + x4X = -30 + -4x + -28x2 + -4x3 + 2x4
-15X + -2xX + -14x2X + -2x3X + x4X = -30 + -4x + -28x2 + -4x3 + 2x4

Reorder the terms:
30 + -15X + 4x + -2xX + 28x2 + -14x2X + 4x3 + -2x3X + -2x4 + x4X = -30 + -4x + -28x2 + -4x3 + 2x4 + 30 + 4x + 28x2 + 4x3 + -2x4

Reorder the terms:
30 + -15X + 4x + -2xX + 28x2 + -14x2X + 4x3 + -2x3X + -2x4 + x4X = -30 + 30 + -4x + 4x + -28x2 + 28x2 + -4x3 + 4x3 + 2x4 + -2x4

Combine like terms: -30 + 30 = 0
30 + -15X + 4x + -2xX + 28x2 + -14x2X + 4x3 + -2x3X + -2x4 + x4X = 0 + -4x + 4x + -28x2 + 28x2 + -4x3 + 4x3 + 2x4 + -2x4
30 + -15X + 4x + -2xX + 28x2 + -14x2X + 4x3 + -2x3X + -2x4 + x4X = -4x + 4x + -28x2 + 28x2 + -4x3 + 4x3 + 2x4 + -2x4

Combine like terms: -4x + 4x = 0
30 + -15X + 4x + -2xX + 28x2 + -14x2X + 4x3 + -2x3X + -2x4 + x4X = 0 + -28x2 + 28x2 + -4x3 + 4x3 + 2x4 + -2x4
30 + -15X + 4x + -2xX + 28x2 + -14x2X + 4x3 + -2x3X + -2x4 + x4X = -28x2 + 28x2 + -4x3 + 4x3 + 2x4 + -2x4

Combine like terms: -28x2 + 28x2 = 0
30 + -15X + 4x + -2xX + 28x2 + -14x2X + 4x3 + -2x3X + -2x4 + x4X = 0 + -4x3 + 4x3 + 2x4 + -2x4
30 + -15X + 4x + -2xX + 28x2 + -14x2X + 4x3 + -2x3X + -2x4 + x4X = -4x3 + 4x3 + 2x4 + -2x4

Combine like terms: -4x3 + 4x3 = 0
30 + -15X + 4x + -2xX + 28x2 + -14x2X + 4x3 + -2x3X + -2x4 + x4X = 0 + 2x4 + -2x4
30 + -15X + 4x + -2xX + 28x2 + -14x2X + 4x3 + -2x3X + -2x4 + x4X = 2x4 + -2x4

Combine like terms: 2x4 + -2x4 = 0
30 + -15X + 4x + -2xX + 28x2 + -14x2X + 4x3 + -2x3X + -2x4 + x4X = 0

The solution to this equation could not be determined.

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