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

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Solution for (X+1)*(x-1)*(x^2+4)=0 equation:


Simplifying
(X + 1)(x + -1)(x2 + 4) = 0

Reorder the terms:
(1 + X)(x + -1)(x2 + 4) = 0

Reorder the terms:
(1 + X)(-1 + x)(x2 + 4) = 0

Reorder the terms:
(1 + X)(-1 + x)(4 + x2) = 0

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

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

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

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

Solving
-4 + -4X + 4x + 4xX + -1x2 + -1x2X + 1x3 + x3X = 0

Solving for variable 'X'.

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

Add '4' to each side of the equation.
-4 + -4X + 4x + 4xX + -1x2 + -1x2X + 1x3 + 4 + x3X = 0 + 4

Reorder the terms:
-4 + 4 + -4X + 4x + 4xX + -1x2 + -1x2X + 1x3 + x3X = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -4X + 4x + 4xX + -1x2 + -1x2X + 1x3 + x3X = 0 + 4
-4X + 4x + 4xX + -1x2 + -1x2X + 1x3 + x3X = 0 + 4

Combine like terms: 0 + 4 = 4
-4X + 4x + 4xX + -1x2 + -1x2X + 1x3 + x3X = 4

Add '-4x' to each side of the equation.
-4X + 4x + 4xX + -1x2 + -1x2X + 1x3 + -4x + x3X = 4 + -4x

Reorder the terms:
-4X + 4x + -4x + 4xX + -1x2 + -1x2X + 1x3 + x3X = 4 + -4x

Combine like terms: 4x + -4x = 0
-4X + 0 + 4xX + -1x2 + -1x2X + 1x3 + x3X = 4 + -4x
-4X + 4xX + -1x2 + -1x2X + 1x3 + x3X = 4 + -4x

Add 'x2' to each side of the equation.
-4X + 4xX + -1x2 + -1x2X + 1x3 + x2 + x3X = 4 + -4x + x2

Reorder the terms:
-4X + 4xX + -1x2 + x2 + -1x2X + 1x3 + x3X = 4 + -4x + x2

Combine like terms: -1x2 + x2 = 0
-4X + 4xX + 0 + -1x2X + 1x3 + x3X = 4 + -4x + x2
-4X + 4xX + -1x2X + 1x3 + x3X = 4 + -4x + x2

Add '-1x3' to each side of the equation.
-4X + 4xX + -1x2X + 1x3 + -1x3 + x3X = 4 + -4x + x2 + -1x3

Combine like terms: 1x3 + -1x3 = 0
-4X + 4xX + -1x2X + 0 + x3X = 4 + -4x + x2 + -1x3
-4X + 4xX + -1x2X + x3X = 4 + -4x + x2 + -1x3

Reorder the terms:
-4 + -4X + 4x + 4xX + -1x2 + -1x2X + x3 + x3X = 4 + -4x + x2 + -1x3 + -4 + 4x + -1x2 + x3

Reorder the terms:
-4 + -4X + 4x + 4xX + -1x2 + -1x2X + x3 + x3X = 4 + -4 + -4x + 4x + x2 + -1x2 + -1x3 + x3

Combine like terms: 4 + -4 = 0
-4 + -4X + 4x + 4xX + -1x2 + -1x2X + x3 + x3X = 0 + -4x + 4x + x2 + -1x2 + -1x3 + x3
-4 + -4X + 4x + 4xX + -1x2 + -1x2X + x3 + x3X = -4x + 4x + x2 + -1x2 + -1x3 + x3

Combine like terms: -4x + 4x = 0
-4 + -4X + 4x + 4xX + -1x2 + -1x2X + x3 + x3X = 0 + x2 + -1x2 + -1x3 + x3
-4 + -4X + 4x + 4xX + -1x2 + -1x2X + x3 + x3X = x2 + -1x2 + -1x3 + x3

Combine like terms: x2 + -1x2 = 0
-4 + -4X + 4x + 4xX + -1x2 + -1x2X + x3 + x3X = 0 + -1x3 + x3
-4 + -4X + 4x + 4xX + -1x2 + -1x2X + x3 + x3X = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-4 + -4X + 4x + 4xX + -1x2 + -1x2X + x3 + x3X = 0

The solution to this equation could not be determined.

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