X^5+5x^4+3x^3-13x^2-8x+12=0

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Solution for X^5+5x^4+3x^3-13x^2-8x+12=0 equation:


Simplifying
X5 + 5x4 + 3x3 + -13x2 + -8x + 12 = 0

Reorder the terms:
12 + X5 + -8x + -13x2 + 3x3 + 5x4 = 0

Solving
12 + X5 + -8x + -13x2 + 3x3 + 5x4 = 0

Solving for variable 'X'.

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

Add '-12' to each side of the equation.
12 + X5 + -8x + -13x2 + 3x3 + -12 + 5x4 = 0 + -12

Reorder the terms:
12 + -12 + X5 + -8x + -13x2 + 3x3 + 5x4 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + X5 + -8x + -13x2 + 3x3 + 5x4 = 0 + -12
X5 + -8x + -13x2 + 3x3 + 5x4 = 0 + -12

Combine like terms: 0 + -12 = -12
X5 + -8x + -13x2 + 3x3 + 5x4 = -12

Add '8x' to each side of the equation.
X5 + -8x + -13x2 + 3x3 + 8x + 5x4 = -12 + 8x

Reorder the terms:
X5 + -8x + 8x + -13x2 + 3x3 + 5x4 = -12 + 8x

Combine like terms: -8x + 8x = 0
X5 + 0 + -13x2 + 3x3 + 5x4 = -12 + 8x
X5 + -13x2 + 3x3 + 5x4 = -12 + 8x

Add '13x2' to each side of the equation.
X5 + -13x2 + 3x3 + 13x2 + 5x4 = -12 + 8x + 13x2

Reorder the terms:
X5 + -13x2 + 13x2 + 3x3 + 5x4 = -12 + 8x + 13x2

Combine like terms: -13x2 + 13x2 = 0
X5 + 0 + 3x3 + 5x4 = -12 + 8x + 13x2
X5 + 3x3 + 5x4 = -12 + 8x + 13x2

Add '-3x3' to each side of the equation.
X5 + 3x3 + -3x3 + 5x4 = -12 + 8x + 13x2 + -3x3

Combine like terms: 3x3 + -3x3 = 0
X5 + 0 + 5x4 = -12 + 8x + 13x2 + -3x3
X5 + 5x4 = -12 + 8x + 13x2 + -3x3

Add '-5x4' to each side of the equation.
X5 + 5x4 + -5x4 = -12 + 8x + 13x2 + -3x3 + -5x4

Combine like terms: 5x4 + -5x4 = 0
X5 + 0 = -12 + 8x + 13x2 + -3x3 + -5x4
X5 = -12 + 8x + 13x2 + -3x3 + -5x4

Simplifying
X5 = -12 + 8x + 13x2 + -3x3 + -5x4

Reorder the terms:
12 + X5 + -8x + -13x2 + 3x3 + 5x4 = -12 + 8x + 13x2 + -3x3 + -5x4 + 12 + -8x + -13x2 + 3x3 + 5x4

Reorder the terms:
12 + X5 + -8x + -13x2 + 3x3 + 5x4 = -12 + 12 + 8x + -8x + 13x2 + -13x2 + -3x3 + 3x3 + -5x4 + 5x4

Combine like terms: -12 + 12 = 0
12 + X5 + -8x + -13x2 + 3x3 + 5x4 = 0 + 8x + -8x + 13x2 + -13x2 + -3x3 + 3x3 + -5x4 + 5x4
12 + X5 + -8x + -13x2 + 3x3 + 5x4 = 8x + -8x + 13x2 + -13x2 + -3x3 + 3x3 + -5x4 + 5x4

Combine like terms: 8x + -8x = 0
12 + X5 + -8x + -13x2 + 3x3 + 5x4 = 0 + 13x2 + -13x2 + -3x3 + 3x3 + -5x4 + 5x4
12 + X5 + -8x + -13x2 + 3x3 + 5x4 = 13x2 + -13x2 + -3x3 + 3x3 + -5x4 + 5x4

Combine like terms: 13x2 + -13x2 = 0
12 + X5 + -8x + -13x2 + 3x3 + 5x4 = 0 + -3x3 + 3x3 + -5x4 + 5x4
12 + X5 + -8x + -13x2 + 3x3 + 5x4 = -3x3 + 3x3 + -5x4 + 5x4

Combine like terms: -3x3 + 3x3 = 0
12 + X5 + -8x + -13x2 + 3x3 + 5x4 = 0 + -5x4 + 5x4
12 + X5 + -8x + -13x2 + 3x3 + 5x4 = -5x4 + 5x4

Combine like terms: -5x4 + 5x4 = 0
12 + X5 + -8x + -13x2 + 3x3 + 5x4 = 0

The solution to this equation could not be determined.

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