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

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


Simplifying
X4 + 3x3 + -4x2 + 12x = 0

Reorder the terms:
X4 + 12x + -4x2 + 3x3 = 0

Solving
X4 + 12x + -4x2 + 3x3 = 0

Solving for variable 'X'.

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

Add '-12x' to each side of the equation.
X4 + 12x + -4x2 + -12x + 3x3 = 0 + -12x

Reorder the terms:
X4 + 12x + -12x + -4x2 + 3x3 = 0 + -12x

Combine like terms: 12x + -12x = 0
X4 + 0 + -4x2 + 3x3 = 0 + -12x
X4 + -4x2 + 3x3 = 0 + -12x
Remove the zero:
X4 + -4x2 + 3x3 = -12x

Add '4x2' to each side of the equation.
X4 + -4x2 + 4x2 + 3x3 = -12x + 4x2

Combine like terms: -4x2 + 4x2 = 0
X4 + 0 + 3x3 = -12x + 4x2
X4 + 3x3 = -12x + 4x2

Add '-3x3' to each side of the equation.
X4 + 3x3 + -3x3 = -12x + 4x2 + -3x3

Combine like terms: 3x3 + -3x3 = 0
X4 + 0 = -12x + 4x2 + -3x3
X4 = -12x + 4x2 + -3x3

Simplifying
X4 = -12x + 4x2 + -3x3

Reorder the terms:
X4 + 12x + -4x2 + 3x3 = -12x + 12x + 4x2 + -4x2 + -3x3 + 3x3

Combine like terms: -12x + 12x = 0
X4 + 12x + -4x2 + 3x3 = 0 + 4x2 + -4x2 + -3x3 + 3x3
X4 + 12x + -4x2 + 3x3 = 4x2 + -4x2 + -3x3 + 3x3

Combine like terms: 4x2 + -4x2 = 0
X4 + 12x + -4x2 + 3x3 = 0 + -3x3 + 3x3
X4 + 12x + -4x2 + 3x3 = -3x3 + 3x3

Combine like terms: -3x3 + 3x3 = 0
X4 + 12x + -4x2 + 3x3 = 0

The solution to this equation could not be determined.

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