x^4-12x^3+23x^2+120X-252=0

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Solution for x^4-12x^3+23x^2+120X-252=0 equation:


Simplifying
x4 + -12x3 + 23x2 + 120X + -252 = 0

Reorder the terms:
-252 + 120X + 23x2 + -12x3 + x4 = 0

Solving
-252 + 120X + 23x2 + -12x3 + x4 = 0

Solving for variable 'X'.

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

Add '252' to each side of the equation.
-252 + 120X + 23x2 + -12x3 + 252 + x4 = 0 + 252

Reorder the terms:
-252 + 252 + 120X + 23x2 + -12x3 + x4 = 0 + 252

Combine like terms: -252 + 252 = 0
0 + 120X + 23x2 + -12x3 + x4 = 0 + 252
120X + 23x2 + -12x3 + x4 = 0 + 252

Combine like terms: 0 + 252 = 252
120X + 23x2 + -12x3 + x4 = 252

Add '-23x2' to each side of the equation.
120X + 23x2 + -12x3 + -23x2 + x4 = 252 + -23x2

Reorder the terms:
120X + 23x2 + -23x2 + -12x3 + x4 = 252 + -23x2

Combine like terms: 23x2 + -23x2 = 0
120X + 0 + -12x3 + x4 = 252 + -23x2
120X + -12x3 + x4 = 252 + -23x2

Add '12x3' to each side of the equation.
120X + -12x3 + 12x3 + x4 = 252 + -23x2 + 12x3

Combine like terms: -12x3 + 12x3 = 0
120X + 0 + x4 = 252 + -23x2 + 12x3
120X + x4 = 252 + -23x2 + 12x3

Add '-1x4' to each side of the equation.
120X + x4 + -1x4 = 252 + -23x2 + 12x3 + -1x4

Combine like terms: x4 + -1x4 = 0
120X + 0 = 252 + -23x2 + 12x3 + -1x4
120X = 252 + -23x2 + 12x3 + -1x4

Divide each side by '120'.
X = 2.1 + -0.1916666667x2 + 0.1x3 + -0.008333333333x4

Simplifying
X = 2.1 + -0.1916666667x2 + 0.1x3 + -0.008333333333x4

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