X^5+3*x^4+12*x^3+6*x^2+3*x+15=0

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Solution for X^5+3*x^4+12*x^3+6*x^2+3*x+15=0 equation: 


Simplifying
X5 + 3x4 + 12x3 + 6x2 + 3x + 15 = 0

Reorder the terms:
15 + X5 + 3x + 6x2 + 12x3 + 3x4 = 0

Solving
15 + X5 + 3x + 6x2 + 12x3 + 3x4 = 0

Solving for variable 'X'.

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

Add '-15' to each side of the equation.
15 + X5 + 3x + 6x2 + 12x3 + -15 + 3x4 = 0 + -15

Reorder the terms:
15 + -15 + X5 + 3x + 6x2 + 12x3 + 3x4 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + X5 + 3x + 6x2 + 12x3 + 3x4 = 0 + -15
X5 + 3x + 6x2 + 12x3 + 3x4 = 0 + -15

Combine like terms: 0 + -15 = -15
X5 + 3x + 6x2 + 12x3 + 3x4 = -15

Add '-3x' to each side of the equation.
X5 + 3x + 6x2 + 12x3 + -3x + 3x4 = -15 + -3x

Reorder the terms:
X5 + 3x + -3x + 6x2 + 12x3 + 3x4 = -15 + -3x

Combine like terms: 3x + -3x = 0
X5 + 0 + 6x2 + 12x3 + 3x4 = -15 + -3x
X5 + 6x2 + 12x3 + 3x4 = -15 + -3x

Add '-6x2' to each side of the equation.
X5 + 6x2 + 12x3 + -6x2 + 3x4 = -15 + -3x + -6x2

Reorder the terms:
X5 + 6x2 + -6x2 + 12x3 + 3x4 = -15 + -3x + -6x2

Combine like terms: 6x2 + -6x2 = 0
X5 + 0 + 12x3 + 3x4 = -15 + -3x + -6x2
X5 + 12x3 + 3x4 = -15 + -3x + -6x2

Add '-12x3' to each side of the equation.
X5 + 12x3 + -12x3 + 3x4 = -15 + -3x + -6x2 + -12x3

Combine like terms: 12x3 + -12x3 = 0
X5 + 0 + 3x4 = -15 + -3x + -6x2 + -12x3
X5 + 3x4 = -15 + -3x + -6x2 + -12x3

Add '-3x4' to each side of the equation.
X5 + 3x4 + -3x4 = -15 + -3x + -6x2 + -12x3 + -3x4

Combine like terms: 3x4 + -3x4 = 0
X5 + 0 = -15 + -3x + -6x2 + -12x3 + -3x4
X5 = -15 + -3x + -6x2 + -12x3 + -3x4

Simplifying
X5 = -15 + -3x + -6x2 + -12x3 + -3x4

Reorder the terms:
15 + X5 + 3x + 6x2 + 12x3 + 3x4 = -15 + -3x + -6x2 + -12x3 + -3x4 + 15 + 3x + 6x2 + 12x3 + 3x4

Reorder the terms:
15 + X5 + 3x + 6x2 + 12x3 + 3x4 = -15 + 15 + -3x + 3x + -6x2 + 6x2 + -12x3 + 12x3 + -3x4 + 3x4

Combine like terms: -15 + 15 = 0
15 + X5 + 3x + 6x2 + 12x3 + 3x4 = 0 + -3x + 3x + -6x2 + 6x2 + -12x3 + 12x3 + -3x4 + 3x4
15 + X5 + 3x + 6x2 + 12x3 + 3x4 = -3x + 3x + -6x2 + 6x2 + -12x3 + 12x3 + -3x4 + 3x4

Combine like terms: -3x + 3x = 0
15 + X5 + 3x + 6x2 + 12x3 + 3x4 = 0 + -6x2 + 6x2 + -12x3 + 12x3 + -3x4 + 3x4
15 + X5 + 3x + 6x2 + 12x3 + 3x4 = -6x2 + 6x2 + -12x3 + 12x3 + -3x4 + 3x4

Combine like terms: -6x2 + 6x2 = 0
15 + X5 + 3x + 6x2 + 12x3 + 3x4 = 0 + -12x3 + 12x3 + -3x4 + 3x4
15 + X5 + 3x + 6x2 + 12x3 + 3x4 = -12x3 + 12x3 + -3x4 + 3x4

Combine like terms: -12x3 + 12x3 = 0
15 + X5 + 3x + 6x2 + 12x3 + 3x4 = 0 + -3x4 + 3x4
15 + X5 + 3x + 6x2 + 12x3 + 3x4 = -3x4 + 3x4

Combine like terms: -3x4 + 3x4 = 0
15 + X5 + 3x + 6x2 + 12x3 + 3x4 = 0

The solution to this equation could not be determined.

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