X(x+1)(x-1)(x+2)-8=0

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Solution for X(x+1)(x-1)(x+2)-8=0 equation:


Simplifying
X(x + 1)(x + -1)(x + 2) + -8 = 0

Reorder the terms:
X(1 + x)(x + -1)(x + 2) + -8 = 0

Reorder the terms:
X(1 + x)(-1 + x)(x + 2) + -8 = 0

Reorder the terms:
X(1 + x)(-1 + x)(2 + x) + -8 = 0

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

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

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

Reorder the terms:
-8 + -2X + -1xX + 2x2X + x3X = 0

Solving
-8 + -2X + -1xX + 2x2X + x3X = 0

Solving for variable 'X'.

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

Add '8' to each side of the equation.
-8 + -2X + -1xX + 2x2X + 8 + x3X = 0 + 8

Reorder the terms:
-8 + 8 + -2X + -1xX + 2x2X + x3X = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -2X + -1xX + 2x2X + x3X = 0 + 8
-2X + -1xX + 2x2X + x3X = 0 + 8

Combine like terms: 0 + 8 = 8
-2X + -1xX + 2x2X + x3X = 8

Reorder the terms:
-8 + -2X + -1xX + 2x2X + x3X = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + -2X + -1xX + 2x2X + x3X = 0

The solution to this equation could not be determined.

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