(X^3+x^2+x+1)(14x-5)=

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Solution for (X^3+x^2+x+1)(14x-5)= equation: 


Simplifying
(X3 + x2 + x + 1)(14x + -5) = 0

Reorder the terms:
(1 + X3 + x + x2)(14x + -5) = 0

Reorder the terms:
(1 + X3 + x + x2)(-5 + 14x) = 0

Multiply (1 + X3 + x + x2) * (-5 + 14x)
(1(-5 + 14x) + X3(-5 + 14x) + x(-5 + 14x) + x2(-5 + 14x)) = 0
((-5 * 1 + 14x * 1) + X3(-5 + 14x) + x(-5 + 14x) + x2(-5 + 14x)) = 0
((-5 + 14x) + X3(-5 + 14x) + x(-5 + 14x) + x2(-5 + 14x)) = 0
(-5 + 14x + (-5 * X3 + 14x * X3) + x(-5 + 14x) + x2(-5 + 14x)) = 0
(-5 + 14x + (-5X3 + 14xX3) + x(-5 + 14x) + x2(-5 + 14x)) = 0
(-5 + 14x + -5X3 + 14xX3 + (-5 * x + 14x * x) + x2(-5 + 14x)) = 0
(-5 + 14x + -5X3 + 14xX3 + (-5x + 14x2) + x2(-5 + 14x)) = 0
(-5 + 14x + -5X3 + 14xX3 + -5x + 14x2 + (-5 * x2 + 14x * x2)) = 0
(-5 + 14x + -5X3 + 14xX3 + -5x + 14x2 + (-5x2 + 14x3)) = 0

Reorder the terms:
(-5 + -5X3 + 14x + -5x + 14xX3 + 14x2 + -5x2 + 14x3) = 0

Combine like terms: 14x + -5x = 9x
(-5 + -5X3 + 9x + 14xX3 + 14x2 + -5x2 + 14x3) = 0

Combine like terms: 14x2 + -5x2 = 9x2
(-5 + -5X3 + 9x + 14xX3 + 9x2 + 14x3) = 0

Solving
-5 + -5X3 + 9x + 14xX3 + 9x2 + 14x3 = 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 + 9x + 14xX3 + 9x2 + 5 + 14x3 = 0 + 5

Reorder the terms:
-5 + 5 + -5X3 + 9x + 14xX3 + 9x2 + 14x3 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -5X3 + 9x + 14xX3 + 9x2 + 14x3 = 0 + 5
-5X3 + 9x + 14xX3 + 9x2 + 14x3 = 0 + 5

Combine like terms: 0 + 5 = 5
-5X3 + 9x + 14xX3 + 9x2 + 14x3 = 5

Add '-9x' to each side of the equation.
-5X3 + 9x + 14xX3 + 9x2 + -9x + 14x3 = 5 + -9x

Reorder the terms:
-5X3 + 9x + -9x + 14xX3 + 9x2 + 14x3 = 5 + -9x

Combine like terms: 9x + -9x = 0
-5X3 + 0 + 14xX3 + 9x2 + 14x3 = 5 + -9x
-5X3 + 14xX3 + 9x2 + 14x3 = 5 + -9x

Add '-9x2' to each side of the equation.
-5X3 + 14xX3 + 9x2 + -9x2 + 14x3 = 5 + -9x + -9x2

Combine like terms: 9x2 + -9x2 = 0
-5X3 + 14xX3 + 0 + 14x3 = 5 + -9x + -9x2
-5X3 + 14xX3 + 14x3 = 5 + -9x + -9x2

Add '-14x3' to each side of the equation.
-5X3 + 14xX3 + 14x3 + -14x3 = 5 + -9x + -9x2 + -14x3

Combine like terms: 14x3 + -14x3 = 0
-5X3 + 14xX3 + 0 = 5 + -9x + -9x2 + -14x3
-5X3 + 14xX3 = 5 + -9x + -9x2 + -14x3

Reorder the terms:
-5 + -5X3 + 9x + 14xX3 + 9x2 + 14x3 = 5 + -9x + -9x2 + -14x3 + -5 + 9x + 9x2 + 14x3

Reorder the terms:
-5 + -5X3 + 9x + 14xX3 + 9x2 + 14x3 = 5 + -5 + -9x + 9x + -9x2 + 9x2 + -14x3 + 14x3

Combine like terms: 5 + -5 = 0
-5 + -5X3 + 9x + 14xX3 + 9x2 + 14x3 = 0 + -9x + 9x + -9x2 + 9x2 + -14x3 + 14x3
-5 + -5X3 + 9x + 14xX3 + 9x2 + 14x3 = -9x + 9x + -9x2 + 9x2 + -14x3 + 14x3

Combine like terms: -9x + 9x = 0
-5 + -5X3 + 9x + 14xX3 + 9x2 + 14x3 = 0 + -9x2 + 9x2 + -14x3 + 14x3
-5 + -5X3 + 9x + 14xX3 + 9x2 + 14x3 = -9x2 + 9x2 + -14x3 + 14x3

Combine like terms: -9x2 + 9x2 = 0
-5 + -5X3 + 9x + 14xX3 + 9x2 + 14x3 = 0 + -14x3 + 14x3
-5 + -5X3 + 9x + 14xX3 + 9x2 + 14x3 = -14x3 + 14x3

Combine like terms: -14x3 + 14x3 = 0
-5 + -5X3 + 9x + 14xX3 + 9x2 + 14x3 = 0

The solution to this equation could not be determined.

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