X^4-10x^3+35x^2+14x-96=120

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Solution for X^4-10x^3+35x^2+14x-96=120 equation:


Simplifying
X4 + -10x3 + 35x2 + 14x + -96 = 120

Reorder the terms:
-96 + X4 + 14x + 35x2 + -10x3 = 120

Solving
-96 + X4 + 14x + 35x2 + -10x3 = 120

Solving for variable 'X'.

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

Add '96' to each side of the equation.
-96 + X4 + 14x + 35x2 + 96 + -10x3 = 120 + 96

Reorder the terms:
-96 + 96 + X4 + 14x + 35x2 + -10x3 = 120 + 96

Combine like terms: -96 + 96 = 0
0 + X4 + 14x + 35x2 + -10x3 = 120 + 96
X4 + 14x + 35x2 + -10x3 = 120 + 96

Combine like terms: 120 + 96 = 216
X4 + 14x + 35x2 + -10x3 = 216

Add '-14x' to each side of the equation.
X4 + 14x + 35x2 + -14x + -10x3 = 216 + -14x

Reorder the terms:
X4 + 14x + -14x + 35x2 + -10x3 = 216 + -14x

Combine like terms: 14x + -14x = 0
X4 + 0 + 35x2 + -10x3 = 216 + -14x
X4 + 35x2 + -10x3 = 216 + -14x

Add '-35x2' to each side of the equation.
X4 + 35x2 + -35x2 + -10x3 = 216 + -14x + -35x2

Combine like terms: 35x2 + -35x2 = 0
X4 + 0 + -10x3 = 216 + -14x + -35x2
X4 + -10x3 = 216 + -14x + -35x2

Add '10x3' to each side of the equation.
X4 + -10x3 + 10x3 = 216 + -14x + -35x2 + 10x3

Combine like terms: -10x3 + 10x3 = 0
X4 + 0 = 216 + -14x + -35x2 + 10x3
X4 = 216 + -14x + -35x2 + 10x3

Simplifying
X4 = 216 + -14x + -35x2 + 10x3

Reorder the terms:
-216 + X4 + 14x + 35x2 + -10x3 = 216 + -14x + -35x2 + 10x3 + -216 + 14x + 35x2 + -10x3

Reorder the terms:
-216 + X4 + 14x + 35x2 + -10x3 = 216 + -216 + -14x + 14x + -35x2 + 35x2 + 10x3 + -10x3

Combine like terms: 216 + -216 = 0
-216 + X4 + 14x + 35x2 + -10x3 = 0 + -14x + 14x + -35x2 + 35x2 + 10x3 + -10x3
-216 + X4 + 14x + 35x2 + -10x3 = -14x + 14x + -35x2 + 35x2 + 10x3 + -10x3

Combine like terms: -14x + 14x = 0
-216 + X4 + 14x + 35x2 + -10x3 = 0 + -35x2 + 35x2 + 10x3 + -10x3
-216 + X4 + 14x + 35x2 + -10x3 = -35x2 + 35x2 + 10x3 + -10x3

Combine like terms: -35x2 + 35x2 = 0
-216 + X4 + 14x + 35x2 + -10x3 = 0 + 10x3 + -10x3
-216 + X4 + 14x + 35x2 + -10x3 = 10x3 + -10x3

Combine like terms: 10x3 + -10x3 = 0
-216 + X4 + 14x + 35x2 + -10x3 = 0

The solution to this equation could not be determined.

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