X^4-12x^2+13x-12=f(x)

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Solution for X^4-12x^2+13x-12=f(x) equation: 


Simplifying
X4 + -12x2 + 13x + -12 = f(x)

Reorder the terms:
-12 + X4 + 13x + -12x2 = f(x)

Multiply f * x
-12 + X4 + 13x + -12x2 = fx

Solving
-12 + X4 + 13x + -12x2 = fx

Solving for variable 'X'.

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

Add '12' to each side of the equation.
-12 + X4 + 13x + 12 + -12x2 = 12 + fx

Reorder the terms:
-12 + 12 + X4 + 13x + -12x2 = 12 + fx

Combine like terms: -12 + 12 = 0
0 + X4 + 13x + -12x2 = 12 + fx
X4 + 13x + -12x2 = 12 + fx

Add '-13x' to each side of the equation.
X4 + 13x + -13x + -12x2 = 12 + fx + -13x

Combine like terms: 13x + -13x = 0
X4 + 0 + -12x2 = 12 + fx + -13x
X4 + -12x2 = 12 + fx + -13x

Add '12x2' to each side of the equation.
X4 + -12x2 + 12x2 = 12 + fx + -13x + 12x2

Combine like terms: -12x2 + 12x2 = 0
X4 + 0 = 12 + fx + -13x + 12x2
X4 = 12 + fx + -13x + 12x2

Simplifying
X4 = 12 + fx + -13x + 12x2

Reorder the terms:
-12 + X4 + -1fx + 13x + -12x2 = 12 + fx + -13x + 12x2 + -12 + -1fx + 13x + -12x2

Reorder the terms:
-12 + X4 + -1fx + 13x + -12x2 = 12 + -12 + fx + -1fx + -13x + 13x + 12x2 + -12x2

Combine like terms: 12 + -12 = 0
-12 + X4 + -1fx + 13x + -12x2 = 0 + fx + -1fx + -13x + 13x + 12x2 + -12x2
-12 + X4 + -1fx + 13x + -12x2 = fx + -1fx + -13x + 13x + 12x2 + -12x2

Combine like terms: fx + -1fx = 0
-12 + X4 + -1fx + 13x + -12x2 = 0 + -13x + 13x + 12x2 + -12x2
-12 + X4 + -1fx + 13x + -12x2 = -13x + 13x + 12x2 + -12x2

Combine like terms: -13x + 13x = 0
-12 + X4 + -1fx + 13x + -12x2 = 0 + 12x2 + -12x2
-12 + X4 + -1fx + 13x + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-12 + X4 + -1fx + 13x + -12x2 = 0

The solution to this equation could not be determined.

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