X^4+3x^3+x^2-12x-20=0

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Solution for X^4+3x^3+x^2-12x-20=0 equation: 


Simplifying
X4 + 3x3 + x2 + -12x + -20 = 0

Reorder the terms:
-20 + X4 + -12x + x2 + 3x3 = 0

Solving
-20 + X4 + -12x + x2 + 3x3 = 0

Solving for variable 'X'.

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

Add '20' to each side of the equation.
-20 + X4 + -12x + x2 + 20 + 3x3 = 0 + 20

Reorder the terms:
-20 + 20 + X4 + -12x + x2 + 3x3 = 0 + 20

Combine like terms: -20 + 20 = 0
0 + X4 + -12x + x2 + 3x3 = 0 + 20
X4 + -12x + x2 + 3x3 = 0 + 20

Combine like terms: 0 + 20 = 20
X4 + -12x + x2 + 3x3 = 20

Add '12x' to each side of the equation.
X4 + -12x + x2 + 12x + 3x3 = 20 + 12x

Reorder the terms:
X4 + -12x + 12x + x2 + 3x3 = 20 + 12x

Combine like terms: -12x + 12x = 0
X4 + 0 + x2 + 3x3 = 20 + 12x
X4 + x2 + 3x3 = 20 + 12x

Add '-1x2' to each side of the equation.
X4 + x2 + -1x2 + 3x3 = 20 + 12x + -1x2

Combine like terms: x2 + -1x2 = 0
X4 + 0 + 3x3 = 20 + 12x + -1x2
X4 + 3x3 = 20 + 12x + -1x2

Add '-3x3' to each side of the equation.
X4 + 3x3 + -3x3 = 20 + 12x + -1x2 + -3x3

Combine like terms: 3x3 + -3x3 = 0
X4 + 0 = 20 + 12x + -1x2 + -3x3
X4 = 20 + 12x + -1x2 + -3x3

Simplifying
X4 = 20 + 12x + -1x2 + -3x3

Reorder the terms:
-20 + X4 + -12x + x2 + 3x3 = 20 + 12x + -1x2 + -3x3 + -20 + -12x + x2 + 3x3

Reorder the terms:
-20 + X4 + -12x + x2 + 3x3 = 20 + -20 + 12x + -12x + -1x2 + x2 + -3x3 + 3x3

Combine like terms: 20 + -20 = 0
-20 + X4 + -12x + x2 + 3x3 = 0 + 12x + -12x + -1x2 + x2 + -3x3 + 3x3
-20 + X4 + -12x + x2 + 3x3 = 12x + -12x + -1x2 + x2 + -3x3 + 3x3

Combine like terms: 12x + -12x = 0
-20 + X4 + -12x + x2 + 3x3 = 0 + -1x2 + x2 + -3x3 + 3x3
-20 + X4 + -12x + x2 + 3x3 = -1x2 + x2 + -3x3 + 3x3

Combine like terms: -1x2 + x2 = 0
-20 + X4 + -12x + x2 + 3x3 = 0 + -3x3 + 3x3
-20 + X4 + -12x + x2 + 3x3 = -3x3 + 3x3

Combine like terms: -3x3 + 3x3 = 0
-20 + X4 + -12x + x2 + 3x3 = 0

The solution to this equation could not be determined.

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