X^5+3x^4-4x^3+12x^2+7x-3=0

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Solution for X^5+3x^4-4x^3+12x^2+7x-3=0 equation: 


Simplifying
X5 + 3x4 + -4x3 + 12x2 + 7x + -3 = 0

Reorder the terms:
-3 + X5 + 7x + 12x2 + -4x3 + 3x4 = 0

Solving
-3 + X5 + 7x + 12x2 + -4x3 + 3x4 = 0

Solving for variable 'X'.

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

Add '3' to each side of the equation.
-3 + X5 + 7x + 12x2 + -4x3 + 3 + 3x4 = 0 + 3

Reorder the terms:
-3 + 3 + X5 + 7x + 12x2 + -4x3 + 3x4 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + X5 + 7x + 12x2 + -4x3 + 3x4 = 0 + 3
X5 + 7x + 12x2 + -4x3 + 3x4 = 0 + 3

Combine like terms: 0 + 3 = 3
X5 + 7x + 12x2 + -4x3 + 3x4 = 3

Add '-7x' to each side of the equation.
X5 + 7x + 12x2 + -4x3 + -7x + 3x4 = 3 + -7x

Reorder the terms:
X5 + 7x + -7x + 12x2 + -4x3 + 3x4 = 3 + -7x

Combine like terms: 7x + -7x = 0
X5 + 0 + 12x2 + -4x3 + 3x4 = 3 + -7x
X5 + 12x2 + -4x3 + 3x4 = 3 + -7x

Add '-12x2' to each side of the equation.
X5 + 12x2 + -4x3 + -12x2 + 3x4 = 3 + -7x + -12x2

Reorder the terms:
X5 + 12x2 + -12x2 + -4x3 + 3x4 = 3 + -7x + -12x2

Combine like terms: 12x2 + -12x2 = 0
X5 + 0 + -4x3 + 3x4 = 3 + -7x + -12x2
X5 + -4x3 + 3x4 = 3 + -7x + -12x2

Add '4x3' to each side of the equation.
X5 + -4x3 + 4x3 + 3x4 = 3 + -7x + -12x2 + 4x3

Combine like terms: -4x3 + 4x3 = 0
X5 + 0 + 3x4 = 3 + -7x + -12x2 + 4x3
X5 + 3x4 = 3 + -7x + -12x2 + 4x3

Add '-3x4' to each side of the equation.
X5 + 3x4 + -3x4 = 3 + -7x + -12x2 + 4x3 + -3x4

Combine like terms: 3x4 + -3x4 = 0
X5 + 0 = 3 + -7x + -12x2 + 4x3 + -3x4
X5 = 3 + -7x + -12x2 + 4x3 + -3x4

Simplifying
X5 = 3 + -7x + -12x2 + 4x3 + -3x4

Reorder the terms:
-3 + X5 + 7x + 12x2 + -4x3 + 3x4 = 3 + -7x + -12x2 + 4x3 + -3x4 + -3 + 7x + 12x2 + -4x3 + 3x4

Reorder the terms:
-3 + X5 + 7x + 12x2 + -4x3 + 3x4 = 3 + -3 + -7x + 7x + -12x2 + 12x2 + 4x3 + -4x3 + -3x4 + 3x4

Combine like terms: 3 + -3 = 0
-3 + X5 + 7x + 12x2 + -4x3 + 3x4 = 0 + -7x + 7x + -12x2 + 12x2 + 4x3 + -4x3 + -3x4 + 3x4
-3 + X5 + 7x + 12x2 + -4x3 + 3x4 = -7x + 7x + -12x2 + 12x2 + 4x3 + -4x3 + -3x4 + 3x4

Combine like terms: -7x + 7x = 0
-3 + X5 + 7x + 12x2 + -4x3 + 3x4 = 0 + -12x2 + 12x2 + 4x3 + -4x3 + -3x4 + 3x4
-3 + X5 + 7x + 12x2 + -4x3 + 3x4 = -12x2 + 12x2 + 4x3 + -4x3 + -3x4 + 3x4

Combine like terms: -12x2 + 12x2 = 0
-3 + X5 + 7x + 12x2 + -4x3 + 3x4 = 0 + 4x3 + -4x3 + -3x4 + 3x4
-3 + X5 + 7x + 12x2 + -4x3 + 3x4 = 4x3 + -4x3 + -3x4 + 3x4

Combine like terms: 4x3 + -4x3 = 0
-3 + X5 + 7x + 12x2 + -4x3 + 3x4 = 0 + -3x4 + 3x4
-3 + X5 + 7x + 12x2 + -4x3 + 3x4 = -3x4 + 3x4

Combine like terms: -3x4 + 3x4 = 0
-3 + X5 + 7x + 12x2 + -4x3 + 3x4 = 0

The solution to this equation could not be determined.

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