(5X^3+x^2+x-13)(x^2-1)=

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Solution for (5X^3+x^2+x-13)(x^2-1)= equation: 


Simplifying
(5X3 + x2 + x + -13)(x2 + -1) = 0

Reorder the terms:
(-13 + 5X3 + x + x2)(x2 + -1) = 0

Reorder the terms:
(-13 + 5X3 + x + x2)(-1 + x2) = 0

Multiply (-13 + 5X3 + x + x2) * (-1 + x2)
(-13(-1 + x2) + 5X3 * (-1 + x2) + x(-1 + x2) + x2(-1 + x2)) = 0
((-1 * -13 + x2 * -13) + 5X3 * (-1 + x2) + x(-1 + x2) + x2(-1 + x2)) = 0
((13 + -13x2) + 5X3 * (-1 + x2) + x(-1 + x2) + x2(-1 + x2)) = 0
(13 + -13x2 + (-1 * 5X3 + x2 * 5X3) + x(-1 + x2) + x2(-1 + x2)) = 0
(13 + -13x2 + (-5X3 + 5x2X3) + x(-1 + x2) + x2(-1 + x2)) = 0
(13 + -13x2 + -5X3 + 5x2X3 + (-1 * x + x2 * x) + x2(-1 + x2)) = 0
(13 + -13x2 + -5X3 + 5x2X3 + (-1x + x3) + x2(-1 + x2)) = 0
(13 + -13x2 + -5X3 + 5x2X3 + -1x + x3 + (-1 * x2 + x2 * x2)) = 0
(13 + -13x2 + -5X3 + 5x2X3 + -1x + x3 + (-1x2 + x4)) = 0

Reorder the terms:
(13 + -5X3 + -1x + -13x2 + -1x2 + 5x2X3 + x3 + x4) = 0

Combine like terms: -13x2 + -1x2 = -14x2
(13 + -5X3 + -1x + -14x2 + 5x2X3 + x3 + x4) = 0

Solving
13 + -5X3 + -1x + -14x2 + 5x2X3 + x3 + x4 = 0

Solving for variable 'X'.

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

Add '-13' to each side of the equation.
13 + -5X3 + -1x + -14x2 + 5x2X3 + x3 + -13 + x4 = 0 + -13

Reorder the terms:
13 + -13 + -5X3 + -1x + -14x2 + 5x2X3 + x3 + x4 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -5X3 + -1x + -14x2 + 5x2X3 + x3 + x4 = 0 + -13
-5X3 + -1x + -14x2 + 5x2X3 + x3 + x4 = 0 + -13

Combine like terms: 0 + -13 = -13
-5X3 + -1x + -14x2 + 5x2X3 + x3 + x4 = -13

Add 'x' to each side of the equation.
-5X3 + -1x + -14x2 + 5x2X3 + x3 + x + x4 = -13 + x

Reorder the terms:
-5X3 + -1x + x + -14x2 + 5x2X3 + x3 + x4 = -13 + x

Combine like terms: -1x + x = 0
-5X3 + 0 + -14x2 + 5x2X3 + x3 + x4 = -13 + x
-5X3 + -14x2 + 5x2X3 + x3 + x4 = -13 + x

Add '14x2' to each side of the equation.
-5X3 + -14x2 + 5x2X3 + x3 + 14x2 + x4 = -13 + x + 14x2

Reorder the terms:
-5X3 + -14x2 + 14x2 + 5x2X3 + x3 + x4 = -13 + x + 14x2

Combine like terms: -14x2 + 14x2 = 0
-5X3 + 0 + 5x2X3 + x3 + x4 = -13 + x + 14x2
-5X3 + 5x2X3 + x3 + x4 = -13 + x + 14x2

Add '-1x3' to each side of the equation.
-5X3 + 5x2X3 + x3 + -1x3 + x4 = -13 + x + 14x2 + -1x3

Combine like terms: x3 + -1x3 = 0
-5X3 + 5x2X3 + 0 + x4 = -13 + x + 14x2 + -1x3
-5X3 + 5x2X3 + x4 = -13 + x + 14x2 + -1x3

Add '-1x4' to each side of the equation.
-5X3 + 5x2X3 + x4 + -1x4 = -13 + x + 14x2 + -1x3 + -1x4

Combine like terms: x4 + -1x4 = 0
-5X3 + 5x2X3 + 0 = -13 + x + 14x2 + -1x3 + -1x4
-5X3 + 5x2X3 = -13 + x + 14x2 + -1x3 + -1x4

Reorder the terms:
13 + -5X3 + -1x + -14x2 + 5x2X3 + x3 + x4 = -13 + x + 14x2 + -1x3 + -1x4 + 13 + -1x + -14x2 + x3 + x4

Reorder the terms:
13 + -5X3 + -1x + -14x2 + 5x2X3 + x3 + x4 = -13 + 13 + x + -1x + 14x2 + -14x2 + -1x3 + x3 + -1x4 + x4

Combine like terms: -13 + 13 = 0
13 + -5X3 + -1x + -14x2 + 5x2X3 + x3 + x4 = 0 + x + -1x + 14x2 + -14x2 + -1x3 + x3 + -1x4 + x4
13 + -5X3 + -1x + -14x2 + 5x2X3 + x3 + x4 = x + -1x + 14x2 + -14x2 + -1x3 + x3 + -1x4 + x4

Combine like terms: x + -1x = 0
13 + -5X3 + -1x + -14x2 + 5x2X3 + x3 + x4 = 0 + 14x2 + -14x2 + -1x3 + x3 + -1x4 + x4
13 + -5X3 + -1x + -14x2 + 5x2X3 + x3 + x4 = 14x2 + -14x2 + -1x3 + x3 + -1x4 + x4

Combine like terms: 14x2 + -14x2 = 0
13 + -5X3 + -1x + -14x2 + 5x2X3 + x3 + x4 = 0 + -1x3 + x3 + -1x4 + x4
13 + -5X3 + -1x + -14x2 + 5x2X3 + x3 + x4 = -1x3 + x3 + -1x4 + x4

Combine like terms: -1x3 + x3 = 0
13 + -5X3 + -1x + -14x2 + 5x2X3 + x3 + x4 = 0 + -1x4 + x4
13 + -5X3 + -1x + -14x2 + 5x2X3 + x3 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
13 + -5X3 + -1x + -14x2 + 5x2X3 + x3 + x4 = 0

The solution to this equation could not be determined.

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