X^4-12x^4+48x^2-64=0

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Solution for X^4-12x^4+48x^2-64=0 equation:


Simplifying
X4 + -12x4 + 48x2 + -64 = 0

Reorder the terms:
-64 + X4 + 48x2 + -12x4 = 0

Solving
-64 + X4 + 48x2 + -12x4 = 0

Solving for variable 'X'.

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

Add '64' to each side of the equation.
-64 + X4 + 48x2 + 64 + -12x4 = 0 + 64

Reorder the terms:
-64 + 64 + X4 + 48x2 + -12x4 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + X4 + 48x2 + -12x4 = 0 + 64
X4 + 48x2 + -12x4 = 0 + 64

Combine like terms: 0 + 64 = 64
X4 + 48x2 + -12x4 = 64

Add '-48x2' to each side of the equation.
X4 + 48x2 + -48x2 + -12x4 = 64 + -48x2

Combine like terms: 48x2 + -48x2 = 0
X4 + 0 + -12x4 = 64 + -48x2
X4 + -12x4 = 64 + -48x2

Add '12x4' to each side of the equation.
X4 + -12x4 + 12x4 = 64 + -48x2 + 12x4

Combine like terms: -12x4 + 12x4 = 0
X4 + 0 = 64 + -48x2 + 12x4
X4 = 64 + -48x2 + 12x4

Simplifying
X4 = 64 + -48x2 + 12x4

Reorder the terms:
-64 + X4 + 48x2 + -12x4 = 64 + -48x2 + 12x4 + -64 + 48x2 + -12x4

Reorder the terms:
-64 + X4 + 48x2 + -12x4 = 64 + -64 + -48x2 + 48x2 + 12x4 + -12x4

Combine like terms: 64 + -64 = 0
-64 + X4 + 48x2 + -12x4 = 0 + -48x2 + 48x2 + 12x4 + -12x4
-64 + X4 + 48x2 + -12x4 = -48x2 + 48x2 + 12x4 + -12x4

Combine like terms: -48x2 + 48x2 = 0
-64 + X4 + 48x2 + -12x4 = 0 + 12x4 + -12x4
-64 + X4 + 48x2 + -12x4 = 12x4 + -12x4

Combine like terms: 12x4 + -12x4 = 0
-64 + X4 + 48x2 + -12x4 = 0

The solution to this equation could not be determined.

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