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

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


Simplifying
x4 + 4x2 + 4 + -1X2 + -2 = 12

Reorder the terms:
4 + -2 + -1X2 + 4x2 + x4 = 12

Combine like terms: 4 + -2 = 2
2 + -1X2 + 4x2 + x4 = 12

Solving
2 + -1X2 + 4x2 + x4 = 12

Solving for variable 'X'.

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

Add '-2' to each side of the equation.
2 + -1X2 + 4x2 + -2 + x4 = 12 + -2

Reorder the terms:
2 + -2 + -1X2 + 4x2 + x4 = 12 + -2

Combine like terms: 2 + -2 = 0
0 + -1X2 + 4x2 + x4 = 12 + -2
-1X2 + 4x2 + x4 = 12 + -2

Combine like terms: 12 + -2 = 10
-1X2 + 4x2 + x4 = 10

Add '-4x2' to each side of the equation.
-1X2 + 4x2 + -4x2 + x4 = 10 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-1X2 + 0 + x4 = 10 + -4x2
-1X2 + x4 = 10 + -4x2

Add '-1x4' to each side of the equation.
-1X2 + x4 + -1x4 = 10 + -4x2 + -1x4

Combine like terms: x4 + -1x4 = 0
-1X2 + 0 = 10 + -4x2 + -1x4
-1X2 = 10 + -4x2 + -1x4

Divide each side by '-1'.
X2 = -10 + 4x2 + x4

Simplifying
X2 = -10 + 4x2 + x4

Reorder the terms:
10 + X2 + -4x2 + -1x4 = -10 + 4x2 + x4 + 10 + -4x2 + -1x4

Reorder the terms:
10 + X2 + -4x2 + -1x4 = -10 + 10 + 4x2 + -4x2 + x4 + -1x4

Combine like terms: -10 + 10 = 0
10 + X2 + -4x2 + -1x4 = 0 + 4x2 + -4x2 + x4 + -1x4
10 + X2 + -4x2 + -1x4 = 4x2 + -4x2 + x4 + -1x4

Combine like terms: 4x2 + -4x2 = 0
10 + X2 + -4x2 + -1x4 = 0 + x4 + -1x4
10 + X2 + -4x2 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
10 + X2 + -4x2 + -1x4 = 0

The solution to this equation could not be determined.

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