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

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


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

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

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

Multiply (1 + X3 + x + x2) * (-5 + 13x)
(1(-5 + 13x) + X3(-5 + 13x) + x(-5 + 13x) + x2(-5 + 13x)) = 0
((-5 * 1 + 13x * 1) + X3(-5 + 13x) + x(-5 + 13x) + x2(-5 + 13x)) = 0
((-5 + 13x) + X3(-5 + 13x) + x(-5 + 13x) + x2(-5 + 13x)) = 0
(-5 + 13x + (-5 * X3 + 13x * X3) + x(-5 + 13x) + x2(-5 + 13x)) = 0
(-5 + 13x + (-5X3 + 13xX3) + x(-5 + 13x) + x2(-5 + 13x)) = 0
(-5 + 13x + -5X3 + 13xX3 + (-5 * x + 13x * x) + x2(-5 + 13x)) = 0
(-5 + 13x + -5X3 + 13xX3 + (-5x + 13x2) + x2(-5 + 13x)) = 0
(-5 + 13x + -5X3 + 13xX3 + -5x + 13x2 + (-5 * x2 + 13x * x2)) = 0
(-5 + 13x + -5X3 + 13xX3 + -5x + 13x2 + (-5x2 + 13x3)) = 0

Reorder the terms:
(-5 + -5X3 + 13x + -5x + 13xX3 + 13x2 + -5x2 + 13x3) = 0

Combine like terms: 13x + -5x = 8x
(-5 + -5X3 + 8x + 13xX3 + 13x2 + -5x2 + 13x3) = 0

Combine like terms: 13x2 + -5x2 = 8x2
(-5 + -5X3 + 8x + 13xX3 + 8x2 + 13x3) = 0

Solving
-5 + -5X3 + 8x + 13xX3 + 8x2 + 13x3 = 0

Solving for variable 'X'.

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

Add '5' to each side of the equation.
-5 + -5X3 + 8x + 13xX3 + 8x2 + 5 + 13x3 = 0 + 5

Reorder the terms:
-5 + 5 + -5X3 + 8x + 13xX3 + 8x2 + 13x3 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -5X3 + 8x + 13xX3 + 8x2 + 13x3 = 0 + 5
-5X3 + 8x + 13xX3 + 8x2 + 13x3 = 0 + 5

Combine like terms: 0 + 5 = 5
-5X3 + 8x + 13xX3 + 8x2 + 13x3 = 5

Add '-8x' to each side of the equation.
-5X3 + 8x + 13xX3 + 8x2 + -8x + 13x3 = 5 + -8x

Reorder the terms:
-5X3 + 8x + -8x + 13xX3 + 8x2 + 13x3 = 5 + -8x

Combine like terms: 8x + -8x = 0
-5X3 + 0 + 13xX3 + 8x2 + 13x3 = 5 + -8x
-5X3 + 13xX3 + 8x2 + 13x3 = 5 + -8x

Add '-8x2' to each side of the equation.
-5X3 + 13xX3 + 8x2 + -8x2 + 13x3 = 5 + -8x + -8x2

Combine like terms: 8x2 + -8x2 = 0
-5X3 + 13xX3 + 0 + 13x3 = 5 + -8x + -8x2
-5X3 + 13xX3 + 13x3 = 5 + -8x + -8x2

Add '-13x3' to each side of the equation.
-5X3 + 13xX3 + 13x3 + -13x3 = 5 + -8x + -8x2 + -13x3

Combine like terms: 13x3 + -13x3 = 0
-5X3 + 13xX3 + 0 = 5 + -8x + -8x2 + -13x3
-5X3 + 13xX3 = 5 + -8x + -8x2 + -13x3

Reorder the terms:
-5 + -5X3 + 8x + 13xX3 + 8x2 + 13x3 = 5 + -8x + -8x2 + -13x3 + -5 + 8x + 8x2 + 13x3

Reorder the terms:
-5 + -5X3 + 8x + 13xX3 + 8x2 + 13x3 = 5 + -5 + -8x + 8x + -8x2 + 8x2 + -13x3 + 13x3

Combine like terms: 5 + -5 = 0
-5 + -5X3 + 8x + 13xX3 + 8x2 + 13x3 = 0 + -8x + 8x + -8x2 + 8x2 + -13x3 + 13x3
-5 + -5X3 + 8x + 13xX3 + 8x2 + 13x3 = -8x + 8x + -8x2 + 8x2 + -13x3 + 13x3

Combine like terms: -8x + 8x = 0
-5 + -5X3 + 8x + 13xX3 + 8x2 + 13x3 = 0 + -8x2 + 8x2 + -13x3 + 13x3
-5 + -5X3 + 8x + 13xX3 + 8x2 + 13x3 = -8x2 + 8x2 + -13x3 + 13x3

Combine like terms: -8x2 + 8x2 = 0
-5 + -5X3 + 8x + 13xX3 + 8x2 + 13x3 = 0 + -13x3 + 13x3
-5 + -5X3 + 8x + 13xX3 + 8x2 + 13x3 = -13x3 + 13x3

Combine like terms: -13x3 + 13x3 = 0
-5 + -5X3 + 8x + 13xX3 + 8x2 + 13x3 = 0

The solution to this equation could not be determined.

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