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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