X^4+6x^3+25x^2+96x=144

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Solution for X^4+6x^3+25x^2+96x=144 equation: 


Simplifying
X4 + 6x3 + 25x2 + 96x = 144

Reorder the terms:
X4 + 96x + 25x2 + 6x3 = 144

Solving
X4 + 96x + 25x2 + 6x3 = 144

Solving for variable 'X'.

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

Add '-96x' to each side of the equation.
X4 + 96x + 25x2 + -96x + 6x3 = 144 + -96x

Reorder the terms:
X4 + 96x + -96x + 25x2 + 6x3 = 144 + -96x

Combine like terms: 96x + -96x = 0
X4 + 0 + 25x2 + 6x3 = 144 + -96x
X4 + 25x2 + 6x3 = 144 + -96x

Add '-25x2' to each side of the equation.
X4 + 25x2 + -25x2 + 6x3 = 144 + -96x + -25x2

Combine like terms: 25x2 + -25x2 = 0
X4 + 0 + 6x3 = 144 + -96x + -25x2
X4 + 6x3 = 144 + -96x + -25x2

Add '-6x3' to each side of the equation.
X4 + 6x3 + -6x3 = 144 + -96x + -25x2 + -6x3

Combine like terms: 6x3 + -6x3 = 0
X4 + 0 = 144 + -96x + -25x2 + -6x3
X4 = 144 + -96x + -25x2 + -6x3

Simplifying
X4 = 144 + -96x + -25x2 + -6x3

Reorder the terms:
-144 + X4 + 96x + 25x2 + 6x3 = 144 + -96x + -25x2 + -6x3 + -144 + 96x + 25x2 + 6x3

Reorder the terms:
-144 + X4 + 96x + 25x2 + 6x3 = 144 + -144 + -96x + 96x + -25x2 + 25x2 + -6x3 + 6x3

Combine like terms: 144 + -144 = 0
-144 + X4 + 96x + 25x2 + 6x3 = 0 + -96x + 96x + -25x2 + 25x2 + -6x3 + 6x3
-144 + X4 + 96x + 25x2 + 6x3 = -96x + 96x + -25x2 + 25x2 + -6x3 + 6x3

Combine like terms: -96x + 96x = 0
-144 + X4 + 96x + 25x2 + 6x3 = 0 + -25x2 + 25x2 + -6x3 + 6x3
-144 + X4 + 96x + 25x2 + 6x3 = -25x2 + 25x2 + -6x3 + 6x3

Combine like terms: -25x2 + 25x2 = 0
-144 + X4 + 96x + 25x2 + 6x3 = 0 + -6x3 + 6x3
-144 + X4 + 96x + 25x2 + 6x3 = -6x3 + 6x3

Combine like terms: -6x3 + 6x3 = 0
-144 + X4 + 96x + 25x2 + 6x3 = 0

The solution to this equation could not be determined.

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