X^4-4x^3-2x^2+12x-9=0

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Solution for X^4-4x^3-2x^2+12x-9=0 equation:


Simplifying
X4 + -4x3 + -2x2 + 12x + -9 = 0

Reorder the terms:
-9 + X4 + 12x + -2x2 + -4x3 = 0

Solving
-9 + X4 + 12x + -2x2 + -4x3 = 0

Solving for variable 'X'.

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

Add '9' to each side of the equation.
-9 + X4 + 12x + -2x2 + 9 + -4x3 = 0 + 9

Reorder the terms:
-9 + 9 + X4 + 12x + -2x2 + -4x3 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + X4 + 12x + -2x2 + -4x3 = 0 + 9
X4 + 12x + -2x2 + -4x3 = 0 + 9

Combine like terms: 0 + 9 = 9
X4 + 12x + -2x2 + -4x3 = 9

Add '-12x' to each side of the equation.
X4 + 12x + -2x2 + -12x + -4x3 = 9 + -12x

Reorder the terms:
X4 + 12x + -12x + -2x2 + -4x3 = 9 + -12x

Combine like terms: 12x + -12x = 0
X4 + 0 + -2x2 + -4x3 = 9 + -12x
X4 + -2x2 + -4x3 = 9 + -12x

Add '2x2' to each side of the equation.
X4 + -2x2 + 2x2 + -4x3 = 9 + -12x + 2x2

Combine like terms: -2x2 + 2x2 = 0
X4 + 0 + -4x3 = 9 + -12x + 2x2
X4 + -4x3 = 9 + -12x + 2x2

Add '4x3' to each side of the equation.
X4 + -4x3 + 4x3 = 9 + -12x + 2x2 + 4x3

Combine like terms: -4x3 + 4x3 = 0
X4 + 0 = 9 + -12x + 2x2 + 4x3
X4 = 9 + -12x + 2x2 + 4x3

Simplifying
X4 = 9 + -12x + 2x2 + 4x3

Reorder the terms:
-9 + X4 + 12x + -2x2 + -4x3 = 9 + -12x + 2x2 + 4x3 + -9 + 12x + -2x2 + -4x3

Reorder the terms:
-9 + X4 + 12x + -2x2 + -4x3 = 9 + -9 + -12x + 12x + 2x2 + -2x2 + 4x3 + -4x3

Combine like terms: 9 + -9 = 0
-9 + X4 + 12x + -2x2 + -4x3 = 0 + -12x + 12x + 2x2 + -2x2 + 4x3 + -4x3
-9 + X4 + 12x + -2x2 + -4x3 = -12x + 12x + 2x2 + -2x2 + 4x3 + -4x3

Combine like terms: -12x + 12x = 0
-9 + X4 + 12x + -2x2 + -4x3 = 0 + 2x2 + -2x2 + 4x3 + -4x3
-9 + X4 + 12x + -2x2 + -4x3 = 2x2 + -2x2 + 4x3 + -4x3

Combine like terms: 2x2 + -2x2 = 0
-9 + X4 + 12x + -2x2 + -4x3 = 0 + 4x3 + -4x3
-9 + X4 + 12x + -2x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-9 + X4 + 12x + -2x2 + -4x3 = 0

The solution to this equation could not be determined.

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