(X+2)(x+2)(x+2)(x+2)(x-1)=0

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


Simplifying
(X + 2)(x + 2)(x + 2)(x + 2)(x + -1) = 0

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

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

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

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

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

Multiply (2 + X) * (2 + x)
(2(2 + x) + X(2 + x))(2 + x)(2 + x)(-1 + x) = 0
((2 * 2 + x * 2) + X(2 + x))(2 + x)(2 + x)(-1 + x) = 0
((4 + 2x) + X(2 + x))(2 + x)(2 + x)(-1 + x) = 0
(4 + 2x + (2 * X + x * X))(2 + x)(2 + x)(-1 + x) = 0
(4 + 2x + (2X + xX))(2 + x)(2 + x)(-1 + x) = 0

Reorder the terms:
(4 + 2X + 2x + xX)(2 + x)(2 + x)(-1 + x) = 0
(4 + 2X + 2x + xX)(2 + x)(2 + x)(-1 + x) = 0

Multiply (4 + 2X + 2x + xX) * (2 + x)
(4(2 + x) + 2X * (2 + x) + 2x * (2 + x) + xX(2 + x))(2 + x)(-1 + x) = 0
((2 * 4 + x * 4) + 2X * (2 + x) + 2x * (2 + x) + xX(2 + x))(2 + x)(-1 + x) = 0
((8 + 4x) + 2X * (2 + x) + 2x * (2 + x) + xX(2 + x))(2 + x)(-1 + x) = 0
(8 + 4x + (2 * 2X + x * 2X) + 2x * (2 + x) + xX(2 + x))(2 + x)(-1 + x) = 0
(8 + 4x + (4X + 2xX) + 2x * (2 + x) + xX(2 + x))(2 + x)(-1 + x) = 0
(8 + 4x + 4X + 2xX + (2 * 2x + x * 2x) + xX(2 + x))(2 + x)(-1 + x) = 0
(8 + 4x + 4X + 2xX + (4x + 2x2) + xX(2 + x))(2 + x)(-1 + x) = 0
(8 + 4x + 4X + 2xX + 4x + 2x2 + (2 * xX + x * xX))(2 + x)(-1 + x) = 0
(8 + 4x + 4X + 2xX + 4x + 2x2 + (2xX + x2X))(2 + x)(-1 + x) = 0

Reorder the terms:
(8 + 4X + 4x + 4x + 2xX + 2xX + 2x2 + x2X)(2 + x)(-1 + x) = 0

Combine like terms: 4x + 4x = 8x
(8 + 4X + 8x + 2xX + 2xX + 2x2 + x2X)(2 + x)(-1 + x) = 0

Combine like terms: 2xX + 2xX = 4xX
(8 + 4X + 8x + 4xX + 2x2 + x2X)(2 + x)(-1 + x) = 0

Multiply (8 + 4X + 8x + 4xX + 2x2 + x2X) * (2 + x)
(8(2 + x) + 4X * (2 + x) + 8x * (2 + x) + 4xX * (2 + x) + 2x2 * (2 + x) + x2X(2 + x))(-1 + x) = 0
((2 * 8 + x * 8) + 4X * (2 + x) + 8x * (2 + x) + 4xX * (2 + x) + 2x2 * (2 + x) + x2X(2 + x))(-1 + x) = 0
((16 + 8x) + 4X * (2 + x) + 8x * (2 + x) + 4xX * (2 + x) + 2x2 * (2 + x) + x2X(2 + x))(-1 + x) = 0
(16 + 8x + (2 * 4X + x * 4X) + 8x * (2 + x) + 4xX * (2 + x) + 2x2 * (2 + x) + x2X(2 + x))(-1 + x) = 0
(16 + 8x + (8X + 4xX) + 8x * (2 + x) + 4xX * (2 + x) + 2x2 * (2 + x) + x2X(2 + x))(-1 + x) = 0
(16 + 8x + 8X + 4xX + (2 * 8x + x * 8x) + 4xX * (2 + x) + 2x2 * (2 + x) + x2X(2 + x))(-1 + x) = 0
(16 + 8x + 8X + 4xX + (16x + 8x2) + 4xX * (2 + x) + 2x2 * (2 + x) + x2X(2 + x))(-1 + x) = 0
(16 + 8x + 8X + 4xX + 16x + 8x2 + (2 * 4xX + x * 4xX) + 2x2 * (2 + x) + x2X(2 + x))(-1 + x) = 0
(16 + 8x + 8X + 4xX + 16x + 8x2 + (8xX + 4x2X) + 2x2 * (2 + x) + x2X(2 + x))(-1 + x) = 0
(16 + 8x + 8X + 4xX + 16x + 8x2 + 8xX + 4x2X + (2 * 2x2 + x * 2x2) + x2X(2 + x))(-1 + x) = 0
(16 + 8x + 8X + 4xX + 16x + 8x2 + 8xX + 4x2X + (4x2 + 2x3) + x2X(2 + x))(-1 + x) = 0
(16 + 8x + 8X + 4xX + 16x + 8x2 + 8xX + 4x2X + 4x2 + 2x3 + (2 * x2X + x * x2X))(-1 + x) = 0
(16 + 8x + 8X + 4xX + 16x + 8x2 + 8xX + 4x2X + 4x2 + 2x3 + (2x2X + x3X))(-1 + x) = 0

Reorder the terms:
(16 + 8X + 8x + 16x + 4xX + 8xX + 8x2 + 4x2 + 4x2X + 2x2X + 2x3 + x3X)(-1 + x) = 0

Combine like terms: 8x + 16x = 24x
(16 + 8X + 24x + 4xX + 8xX + 8x2 + 4x2 + 4x2X + 2x2X + 2x3 + x3X)(-1 + x) = 0

Combine like terms: 4xX + 8xX = 12xX
(16 + 8X + 24x + 12xX + 8x2 + 4x2 + 4x2X + 2x2X + 2x3 + x3X)(-1 + x) = 0

Combine like terms: 8x2 + 4x2 = 12x2
(16 + 8X + 24x + 12xX + 12x2 + 4x2X + 2x2X + 2x3 + x3X)(-1 + x) = 0

Combine like terms: 4x2X + 2x2X = 6x2X
(16 + 8X + 24x + 12xX + 12x2 + 6x2X + 2x3 + x3X)(-1 + x) = 0

Multiply (16 + 8X + 24x + 12xX + 12x2 + 6x2X + 2x3 + x3X) * (-1 + x)
(16(-1 + x) + 8X * (-1 + x) + 24x * (-1 + x) + 12xX * (-1 + x) + 12x2 * (-1 + x) + 6x2X * (-1 + x) + 2x3 * (-1 + x) + x3X(-1 + x)) = 0
((-1 * 16 + x * 16) + 8X * (-1 + x) + 24x * (-1 + x) + 12xX * (-1 + x) + 12x2 * (-1 + x) + 6x2X * (-1 + x) + 2x3 * (-1 + x) + x3X(-1 + x)) = 0
((-16 + 16x) + 8X * (-1 + x) + 24x * (-1 + x) + 12xX * (-1 + x) + 12x2 * (-1 + x) + 6x2X * (-1 + x) + 2x3 * (-1 + x) + x3X(-1 + x)) = 0
(-16 + 16x + (-1 * 8X + x * 8X) + 24x * (-1 + x) + 12xX * (-1 + x) + 12x2 * (-1 + x) + 6x2X * (-1 + x) + 2x3 * (-1 + x) + x3X(-1 + x)) = 0
(-16 + 16x + (-8X + 8xX) + 24x * (-1 + x) + 12xX * (-1 + x) + 12x2 * (-1 + x) + 6x2X * (-1 + x) + 2x3 * (-1 + x) + x3X(-1 + x)) = 0
(-16 + 16x + -8X + 8xX + (-1 * 24x + x * 24x) + 12xX * (-1 + x) + 12x2 * (-1 + x) + 6x2X * (-1 + x) + 2x3 * (-1 + x) + x3X(-1 + x)) = 0
(-16 + 16x + -8X + 8xX + (-24x + 24x2) + 12xX * (-1 + x) + 12x2 * (-1 + x) + 6x2X * (-1 + x) + 2x3 * (-1 + x) + x3X(-1 + x)) = 0
(-16 + 16x + -8X + 8xX + -24x + 24x2 + (-1 * 12xX + x * 12xX) + 12x2 * (-1 + x) + 6x2X * (-1 + x) + 2x3 * (-1 + x) + x3X(-1 + x)) = 0
(-16 + 16x + -8X + 8xX + -24x + 24x2 + (-12xX + 12x2X) + 12x2 * (-1 + x) + 6x2X * (-1 + x) + 2x3 * (-1 + x) + x3X(-1 + x)) = 0
(-16 + 16x + -8X + 8xX + -24x + 24x2 + -12xX + 12x2X + (-1 * 12x2 + x * 12x2) + 6x2X * (-1 + x) + 2x3 * (-1 + x) + x3X(-1 + x)) = 0
(-16 + 16x + -8X + 8xX + -24x + 24x2 + -12xX + 12x2X + (-12x2 + 12x3) + 6x2X * (-1 + x) + 2x3 * (-1 + x) + x3X(-1 + x)) = 0
(-16 + 16x + -8X + 8xX + -24x + 24x2 + -12xX + 12x2X + -12x2 + 12x3 + (-1 * 6x2X + x * 6x2X) + 2x3 * (-1 + x) + x3X(-1 + x)) = 0
(-16 + 16x + -8X + 8xX + -24x + 24x2 + -12xX + 12x2X + -12x2 + 12x3 + (-6x2X + 6x3X) + 2x3 * (-1 + x) + x3X(-1 + x)) = 0
(-16 + 16x + -8X + 8xX + -24x + 24x2 + -12xX + 12x2X + -12x2 + 12x3 + -6x2X + 6x3X + (-1 * 2x3 + x * 2x3) + x3X(-1 + x)) = 0
(-16 + 16x + -8X + 8xX + -24x + 24x2 + -12xX + 12x2X + -12x2 + 12x3 + -6x2X + 6x3X + (-2x3 + 2x4) + x3X(-1 + x)) = 0
(-16 + 16x + -8X + 8xX + -24x + 24x2 + -12xX + 12x2X + -12x2 + 12x3 + -6x2X + 6x3X + -2x3 + 2x4 + (-1 * x3X + x * x3X)) = 0
(-16 + 16x + -8X + 8xX + -24x + 24x2 + -12xX + 12x2X + -12x2 + 12x3 + -6x2X + 6x3X + -2x3 + 2x4 + (-1x3X + x4X)) = 0

Reorder the terms:
(-16 + -8X + 16x + -24x + 8xX + -12xX + 24x2 + -12x2 + 12x2X + -6x2X + 12x3 + -2x3 + 6x3X + -1x3X + 2x4 + x4X) = 0

Combine like terms: 16x + -24x = -8x
(-16 + -8X + -8x + 8xX + -12xX + 24x2 + -12x2 + 12x2X + -6x2X + 12x3 + -2x3 + 6x3X + -1x3X + 2x4 + x4X) = 0

Combine like terms: 8xX + -12xX = -4xX
(-16 + -8X + -8x + -4xX + 24x2 + -12x2 + 12x2X + -6x2X + 12x3 + -2x3 + 6x3X + -1x3X + 2x4 + x4X) = 0

Combine like terms: 24x2 + -12x2 = 12x2
(-16 + -8X + -8x + -4xX + 12x2 + 12x2X + -6x2X + 12x3 + -2x3 + 6x3X + -1x3X + 2x4 + x4X) = 0

Combine like terms: 12x2X + -6x2X = 6x2X
(-16 + -8X + -8x + -4xX + 12x2 + 6x2X + 12x3 + -2x3 + 6x3X + -1x3X + 2x4 + x4X) = 0

Combine like terms: 12x3 + -2x3 = 10x3
(-16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 6x3X + -1x3X + 2x4 + x4X) = 0

Combine like terms: 6x3X + -1x3X = 5x3X
(-16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X) = 0

Solving
-16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 0

Solving for variable 'X'.

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

Add '16' to each side of the equation.
-16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + 16 + x4X = 0 + 16

Reorder the terms:
-16 + 16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 0 + 16
-8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 0 + 16

Combine like terms: 0 + 16 = 16
-8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 16

Add '8x' to each side of the equation.
-8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + 8x + x4X = 16 + 8x

Reorder the terms:
-8X + -8x + 8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 16 + 8x

Combine like terms: -8x + 8x = 0
-8X + 0 + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 16 + 8x
-8X + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 16 + 8x

Add '-12x2' to each side of the equation.
-8X + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + -12x2 + x4X = 16 + 8x + -12x2

Reorder the terms:
-8X + -4xX + 12x2 + -12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 16 + 8x + -12x2

Combine like terms: 12x2 + -12x2 = 0
-8X + -4xX + 0 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 16 + 8x + -12x2
-8X + -4xX + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 16 + 8x + -12x2

Add '-10x3' to each side of the equation.
-8X + -4xX + 6x2X + 10x3 + 5x3X + 2x4 + -10x3 + x4X = 16 + 8x + -12x2 + -10x3

Reorder the terms:
-8X + -4xX + 6x2X + 10x3 + -10x3 + 5x3X + 2x4 + x4X = 16 + 8x + -12x2 + -10x3

Combine like terms: 10x3 + -10x3 = 0
-8X + -4xX + 6x2X + 0 + 5x3X + 2x4 + x4X = 16 + 8x + -12x2 + -10x3
-8X + -4xX + 6x2X + 5x3X + 2x4 + x4X = 16 + 8x + -12x2 + -10x3

Add '-2x4' to each side of the equation.
-8X + -4xX + 6x2X + 5x3X + 2x4 + -2x4 + x4X = 16 + 8x + -12x2 + -10x3 + -2x4

Combine like terms: 2x4 + -2x4 = 0
-8X + -4xX + 6x2X + 5x3X + 0 + x4X = 16 + 8x + -12x2 + -10x3 + -2x4
-8X + -4xX + 6x2X + 5x3X + x4X = 16 + 8x + -12x2 + -10x3 + -2x4

Reorder the terms:
-16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 16 + 8x + -12x2 + -10x3 + -2x4 + -16 + -8x + 12x2 + 10x3 + 2x4

Reorder the terms:
-16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 16 + -16 + 8x + -8x + -12x2 + 12x2 + -10x3 + 10x3 + -2x4 + 2x4

Combine like terms: 16 + -16 = 0
-16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 0 + 8x + -8x + -12x2 + 12x2 + -10x3 + 10x3 + -2x4 + 2x4
-16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 8x + -8x + -12x2 + 12x2 + -10x3 + 10x3 + -2x4 + 2x4

Combine like terms: 8x + -8x = 0
-16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 0 + -12x2 + 12x2 + -10x3 + 10x3 + -2x4 + 2x4
-16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = -12x2 + 12x2 + -10x3 + 10x3 + -2x4 + 2x4

Combine like terms: -12x2 + 12x2 = 0
-16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 0 + -10x3 + 10x3 + -2x4 + 2x4
-16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = -10x3 + 10x3 + -2x4 + 2x4

Combine like terms: -10x3 + 10x3 = 0
-16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 0 + -2x4 + 2x4
-16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = -2x4 + 2x4

Combine like terms: -2x4 + 2x4 = 0
-16 + -8X + -8x + -4xX + 12x2 + 6x2X + 10x3 + 5x3X + 2x4 + x4X = 0

The solution to this equation could not be determined.

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