X^3+6x^2-2x-28=x^2+2x-8

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Solution for X^3+6x^2-2x-28=x^2+2x-8 equation: 


Simplifying
X3 + 6x2 + -2x + -28 = x2 + 2x + -8

Reorder the terms:
-28 + X3 + -2x + 6x2 = x2 + 2x + -8

Reorder the terms:
-28 + X3 + -2x + 6x2 = -8 + 2x + x2

Solving
-28 + X3 + -2x + 6x2 = -8 + 2x + x2

Solving for variable 'X'.

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

Add '28' to each side of the equation.
-28 + X3 + -2x + 28 + 6x2 = -8 + 2x + 28 + x2

Reorder the terms:
-28 + 28 + X3 + -2x + 6x2 = -8 + 2x + 28 + x2

Combine like terms: -28 + 28 = 0
0 + X3 + -2x + 6x2 = -8 + 2x + 28 + x2
X3 + -2x + 6x2 = -8 + 2x + 28 + x2

Reorder the terms:
X3 + -2x + 6x2 = -8 + 28 + 2x + x2

Combine like terms: -8 + 28 = 20
X3 + -2x + 6x2 = 20 + 2x + x2

Add '2x' to each side of the equation.
X3 + -2x + 2x + 6x2 = 20 + 2x + 2x + x2

Combine like terms: -2x + 2x = 0
X3 + 0 + 6x2 = 20 + 2x + 2x + x2
X3 + 6x2 = 20 + 2x + 2x + x2

Combine like terms: 2x + 2x = 4x
X3 + 6x2 = 20 + 4x + x2

Add '-6x2' to each side of the equation.
X3 + 6x2 + -6x2 = 20 + 4x + x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
X3 + 0 = 20 + 4x + x2 + -6x2
X3 = 20 + 4x + x2 + -6x2

Combine like terms: x2 + -6x2 = -5x2
X3 = 20 + 4x + -5x2

Simplifying
X3 = 20 + 4x + -5x2

Reorder the terms:
-20 + X3 + -4x + 5x2 = 20 + 4x + -5x2 + -20 + -4x + 5x2

Reorder the terms:
-20 + X3 + -4x + 5x2 = 20 + -20 + 4x + -4x + -5x2 + 5x2

Combine like terms: 20 + -20 = 0
-20 + X3 + -4x + 5x2 = 0 + 4x + -4x + -5x2 + 5x2
-20 + X3 + -4x + 5x2 = 4x + -4x + -5x2 + 5x2

Combine like terms: 4x + -4x = 0
-20 + X3 + -4x + 5x2 = 0 + -5x2 + 5x2
-20 + X3 + -4x + 5x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
-20 + X3 + -4x + 5x2 = 0

The solution to this equation could not be determined.

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