(X^2-2)(x^3+125)(2x-1)=0

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Solution for (X^2-2)(x^3+125)(2x-1)=0 equation: 


Simplifying
(X2 + -2)(x3 + 125)(2x + -1) = 0

Reorder the terms:
(-2 + X2)(x3 + 125)(2x + -1) = 0

Reorder the terms:
(-2 + X2)(125 + x3)(2x + -1) = 0

Reorder the terms:
(-2 + X2)(125 + x3)(-1 + 2x) = 0

Multiply (-2 + X2) * (125 + x3)
(-2(125 + x3) + X2(125 + x3))(-1 + 2x) = 0
((125 * -2 + x3 * -2) + X2(125 + x3))(-1 + 2x) = 0
((-250 + -2x3) + X2(125 + x3))(-1 + 2x) = 0
(-250 + -2x3 + (125 * X2 + x3 * X2))(-1 + 2x) = 0
(-250 + -2x3 + (125X2 + x3X2))(-1 + 2x) = 0

Reorder the terms:
(-250 + 125X2 + -2x3 + x3X2)(-1 + 2x) = 0
(-250 + 125X2 + -2x3 + x3X2)(-1 + 2x) = 0

Multiply (-250 + 125X2 + -2x3 + x3X2) * (-1 + 2x)
(-250(-1 + 2x) + 125X2 * (-1 + 2x) + -2x3 * (-1 + 2x) + x3X2(-1 + 2x)) = 0
((-1 * -250 + 2x * -250) + 125X2 * (-1 + 2x) + -2x3 * (-1 + 2x) + x3X2(-1 + 2x)) = 0
((250 + -500x) + 125X2 * (-1 + 2x) + -2x3 * (-1 + 2x) + x3X2(-1 + 2x)) = 0
(250 + -500x + (-1 * 125X2 + 2x * 125X2) + -2x3 * (-1 + 2x) + x3X2(-1 + 2x)) = 0
(250 + -500x + (-125X2 + 250xX2) + -2x3 * (-1 + 2x) + x3X2(-1 + 2x)) = 0
(250 + -500x + -125X2 + 250xX2 + (-1 * -2x3 + 2x * -2x3) + x3X2(-1 + 2x)) = 0
(250 + -500x + -125X2 + 250xX2 + (2x3 + -4x4) + x3X2(-1 + 2x)) = 0
(250 + -500x + -125X2 + 250xX2 + 2x3 + -4x4 + (-1 * x3X2 + 2x * x3X2)) = 0
(250 + -500x + -125X2 + 250xX2 + 2x3 + -4x4 + (-1x3X2 + 2x4X2)) = 0

Reorder the terms:
(250 + -125X2 + -500x + 250xX2 + 2x3 + -1x3X2 + -4x4 + 2x4X2) = 0
(250 + -125X2 + -500x + 250xX2 + 2x3 + -1x3X2 + -4x4 + 2x4X2) = 0

Solving
250 + -125X2 + -500x + 250xX2 + 2x3 + -1x3X2 + -4x4 + 2x4X2 = 0

Solving for variable 'X'.

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

Add '-250' to each side of the equation.
250 + -125X2 + -500x + 250xX2 + 2x3 + -1x3X2 + -4x4 + -250 + 2x4X2 = 0 + -250

Reorder the terms:
250 + -250 + -125X2 + -500x + 250xX2 + 2x3 + -1x3X2 + -4x4 + 2x4X2 = 0 + -250

Combine like terms: 250 + -250 = 0
0 + -125X2 + -500x + 250xX2 + 2x3 + -1x3X2 + -4x4 + 2x4X2 = 0 + -250
-125X2 + -500x + 250xX2 + 2x3 + -1x3X2 + -4x4 + 2x4X2 = 0 + -250

Combine like terms: 0 + -250 = -250
-125X2 + -500x + 250xX2 + 2x3 + -1x3X2 + -4x4 + 2x4X2 = -250

Add '500x' to each side of the equation.
-125X2 + -500x + 250xX2 + 2x3 + -1x3X2 + -4x4 + 500x + 2x4X2 = -250 + 500x

Reorder the terms:
-125X2 + -500x + 500x + 250xX2 + 2x3 + -1x3X2 + -4x4 + 2x4X2 = -250 + 500x

Combine like terms: -500x + 500x = 0
-125X2 + 0 + 250xX2 + 2x3 + -1x3X2 + -4x4 + 2x4X2 = -250 + 500x
-125X2 + 250xX2 + 2x3 + -1x3X2 + -4x4 + 2x4X2 = -250 + 500x

Add '-2x3' to each side of the equation.
-125X2 + 250xX2 + 2x3 + -1x3X2 + -4x4 + -2x3 + 2x4X2 = -250 + 500x + -2x3

Reorder the terms:
-125X2 + 250xX2 + 2x3 + -2x3 + -1x3X2 + -4x4 + 2x4X2 = -250 + 500x + -2x3

Combine like terms: 2x3 + -2x3 = 0
-125X2 + 250xX2 + 0 + -1x3X2 + -4x4 + 2x4X2 = -250 + 500x + -2x3
-125X2 + 250xX2 + -1x3X2 + -4x4 + 2x4X2 = -250 + 500x + -2x3

Add '4x4' to each side of the equation.
-125X2 + 250xX2 + -1x3X2 + -4x4 + 4x4 + 2x4X2 = -250 + 500x + -2x3 + 4x4

Combine like terms: -4x4 + 4x4 = 0
-125X2 + 250xX2 + -1x3X2 + 0 + 2x4X2 = -250 + 500x + -2x3 + 4x4
-125X2 + 250xX2 + -1x3X2 + 2x4X2 = -250 + 500x + -2x3 + 4x4

Reorder the terms:
250 + -125X2 + -500x + 250xX2 + 2x3 + -1x3X2 + -4x4 + 2x4X2 = -250 + 500x + -2x3 + 4x4 + 250 + -500x + 2x3 + -4x4

Reorder the terms:
250 + -125X2 + -500x + 250xX2 + 2x3 + -1x3X2 + -4x4 + 2x4X2 = -250 + 250 + 500x + -500x + -2x3 + 2x3 + 4x4 + -4x4

Combine like terms: -250 + 250 = 0
250 + -125X2 + -500x + 250xX2 + 2x3 + -1x3X2 + -4x4 + 2x4X2 = 0 + 500x + -500x + -2x3 + 2x3 + 4x4 + -4x4
250 + -125X2 + -500x + 250xX2 + 2x3 + -1x3X2 + -4x4 + 2x4X2 = 500x + -500x + -2x3 + 2x3 + 4x4 + -4x4

Combine like terms: 500x + -500x = 0
250 + -125X2 + -500x + 250xX2 + 2x3 + -1x3X2 + -4x4 + 2x4X2 = 0 + -2x3 + 2x3 + 4x4 + -4x4
250 + -125X2 + -500x + 250xX2 + 2x3 + -1x3X2 + -4x4 + 2x4X2 = -2x3 + 2x3 + 4x4 + -4x4

Combine like terms: -2x3 + 2x3 = 0
250 + -125X2 + -500x + 250xX2 + 2x3 + -1x3X2 + -4x4 + 2x4X2 = 0 + 4x4 + -4x4
250 + -125X2 + -500x + 250xX2 + 2x3 + -1x3X2 + -4x4 + 2x4X2 = 4x4 + -4x4

Combine like terms: 4x4 + -4x4 = 0
250 + -125X2 + -500x + 250xX2 + 2x3 + -1x3X2 + -4x4 + 2x4X2 = 0

The solution to this equation could not be determined.

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