X^6-14x^4+12x^3+49x^2-84x+36=0

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Solution for X^6-14x^4+12x^3+49x^2-84x+36=0 equation: 


Simplifying
X6 + -14x4 + 12x3 + 49x2 + -84x + 36 = 0

Reorder the terms:
36 + X6 + -84x + 49x2 + 12x3 + -14x4 = 0

Solving
36 + X6 + -84x + 49x2 + 12x3 + -14x4 = 0

Solving for variable 'X'.

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

Add '-36' to each side of the equation.
36 + X6 + -84x + 49x2 + 12x3 + -36 + -14x4 = 0 + -36

Reorder the terms:
36 + -36 + X6 + -84x + 49x2 + 12x3 + -14x4 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + X6 + -84x + 49x2 + 12x3 + -14x4 = 0 + -36
X6 + -84x + 49x2 + 12x3 + -14x4 = 0 + -36

Combine like terms: 0 + -36 = -36
X6 + -84x + 49x2 + 12x3 + -14x4 = -36

Add '84x' to each side of the equation.
X6 + -84x + 49x2 + 12x3 + 84x + -14x4 = -36 + 84x

Reorder the terms:
X6 + -84x + 84x + 49x2 + 12x3 + -14x4 = -36 + 84x

Combine like terms: -84x + 84x = 0
X6 + 0 + 49x2 + 12x3 + -14x4 = -36 + 84x
X6 + 49x2 + 12x3 + -14x4 = -36 + 84x

Add '-49x2' to each side of the equation.
X6 + 49x2 + 12x3 + -49x2 + -14x4 = -36 + 84x + -49x2

Reorder the terms:
X6 + 49x2 + -49x2 + 12x3 + -14x4 = -36 + 84x + -49x2

Combine like terms: 49x2 + -49x2 = 0
X6 + 0 + 12x3 + -14x4 = -36 + 84x + -49x2
X6 + 12x3 + -14x4 = -36 + 84x + -49x2

Add '-12x3' to each side of the equation.
X6 + 12x3 + -12x3 + -14x4 = -36 + 84x + -49x2 + -12x3

Combine like terms: 12x3 + -12x3 = 0
X6 + 0 + -14x4 = -36 + 84x + -49x2 + -12x3
X6 + -14x4 = -36 + 84x + -49x2 + -12x3

Add '14x4' to each side of the equation.
X6 + -14x4 + 14x4 = -36 + 84x + -49x2 + -12x3 + 14x4

Combine like terms: -14x4 + 14x4 = 0
X6 + 0 = -36 + 84x + -49x2 + -12x3 + 14x4
X6 = -36 + 84x + -49x2 + -12x3 + 14x4

Simplifying
X6 = -36 + 84x + -49x2 + -12x3 + 14x4

Reorder the terms:
36 + X6 + -84x + 49x2 + 12x3 + -14x4 = -36 + 84x + -49x2 + -12x3 + 14x4 + 36 + -84x + 49x2 + 12x3 + -14x4

Reorder the terms:
36 + X6 + -84x + 49x2 + 12x3 + -14x4 = -36 + 36 + 84x + -84x + -49x2 + 49x2 + -12x3 + 12x3 + 14x4 + -14x4

Combine like terms: -36 + 36 = 0
36 + X6 + -84x + 49x2 + 12x3 + -14x4 = 0 + 84x + -84x + -49x2 + 49x2 + -12x3 + 12x3 + 14x4 + -14x4
36 + X6 + -84x + 49x2 + 12x3 + -14x4 = 84x + -84x + -49x2 + 49x2 + -12x3 + 12x3 + 14x4 + -14x4

Combine like terms: 84x + -84x = 0
36 + X6 + -84x + 49x2 + 12x3 + -14x4 = 0 + -49x2 + 49x2 + -12x3 + 12x3 + 14x4 + -14x4
36 + X6 + -84x + 49x2 + 12x3 + -14x4 = -49x2 + 49x2 + -12x3 + 12x3 + 14x4 + -14x4

Combine like terms: -49x2 + 49x2 = 0
36 + X6 + -84x + 49x2 + 12x3 + -14x4 = 0 + -12x3 + 12x3 + 14x4 + -14x4
36 + X6 + -84x + 49x2 + 12x3 + -14x4 = -12x3 + 12x3 + 14x4 + -14x4

Combine like terms: -12x3 + 12x3 = 0
36 + X6 + -84x + 49x2 + 12x3 + -14x4 = 0 + 14x4 + -14x4
36 + X6 + -84x + 49x2 + 12x3 + -14x4 = 14x4 + -14x4

Combine like terms: 14x4 + -14x4 = 0
36 + X6 + -84x + 49x2 + 12x3 + -14x4 = 0

The solution to this equation could not be determined.

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