(X^4)-(6x^3)+(12x^2)+3=0

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Solution for (X^4)-(6x^3)+(12x^2)+3=0 equation:


Simplifying
(X4) + -1(6x3) + (12x2) + 3 = 0
X4 + -1(6x3) + (12x2) + 3 = 0

Remove parenthesis around (6x3)
X4 + -1 * 6x3 + (12x2) + 3 = 0

Multiply -1 * 6
X4 + -6x3 + (12x2) + 3 = 0

Reorder the terms:
3 + X4 + (12x2) + -6x3 = 0

Solving
3 + X4 + (12x2) + -6x3 = 0

Solving for variable 'X'.

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

Add '-3' to each side of the equation.
3 + X4 + (12x2) + -3 + -6x3 = 0 + -3

Reorder the terms:
3 + -3 + X4 + (12x2) + -6x3 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + X4 + (12x2) + -6x3 = 0 + -3
X4 + (12x2) + -6x3 = 0 + -3

Combine like terms: 0 + -3 = -3
X4 + (12x2) + -6x3 = -3

Add '(-12x2)' to each side of the equation.
X4 + (12x2) + (-12x2) + -6x3 = -3 + (-12x2)

Combine like terms: (12x2) + (-12x2) = 0
X4 + 0 + -6x3 = -3 + (-12x2)
X4 + -6x3 = -3 + (-12x2)

Add '6x3' to each side of the equation.
X4 + -6x3 + 6x3 = -3 + (-12x2) + 6x3

Combine like terms: -6x3 + 6x3 = 0
X4 + 0 = -3 + (-12x2) + 6x3
X4 = -3 + (-12x2) + 6x3

Simplifying
X4 = -3 + (-12x2) + 6x3

Reorder the terms:
3 + X4 + (12x2) + -6x3 = -3 + (-12x2) + 6x3 + 3 + (12x2) + -6x3

Reorder the terms:
3 + X4 + (12x2) + -6x3 = -3 + 3 + (-12x2) + (12x2) + 6x3 + -6x3

Combine like terms: -3 + 3 = 0
3 + X4 + (12x2) + -6x3 = 0 + (-12x2) + (12x2) + 6x3 + -6x3
3 + X4 + (12x2) + -6x3 = (-12x2) + (12x2) + 6x3 + -6x3

Combine like terms: (-12x2) + (12x2) = 0
3 + X4 + (12x2) + -6x3 = 0 + 6x3 + -6x3
3 + X4 + (12x2) + -6x3 = 6x3 + -6x3

Combine like terms: 6x3 + -6x3 = 0
3 + X4 + (12x2) + -6x3 = 0

The solution to this equation could not be determined.

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