X^2+4a^2-4ax-1=0

Solution for X^2+4a^2-4ax-1=0 equation:

Simplifying
X2 + 4a2 + -4ax + -1 = 0

Reorder the terms:
-1 + X2 + -4ax + 4a2 = 0

Solving
-1 + X2 + -4ax + 4a2 = 0

Solving for variable 'X'.

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

Add '1' to each side of the equation.
-1 + X2 + -4ax + 1 + 4a2 = 0 + 1

Reorder the terms:
-1 + 1 + X2 + -4ax + 4a2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + X2 + -4ax + 4a2 = 0 + 1
X2 + -4ax + 4a2 = 0 + 1

Combine like terms: 0 + 1 = 1
X2 + -4ax + 4a2 = 1

Add '4ax' to each side of the equation.
X2 + -4ax + 4ax + 4a2 = 1 + 4ax

Combine like terms: -4ax + 4ax = 0
X2 + 0 + 4a2 = 1 + 4ax
X2 + 4a2 = 1 + 4ax

Add '-4a2' to each side of the equation.
X2 + 4a2 + -4a2 = 1 + 4ax + -4a2

Combine like terms: 4a2 + -4a2 = 0
X2 + 0 = 1 + 4ax + -4a2
X2 = 1 + 4ax + -4a2

Simplifying
X2 = 1 + 4ax + -4a2

Reorder the terms:
-1 + X2 + -4ax + 4a2 = 1 + 4ax + -4a2 + -1 + -4ax + 4a2

Reorder the terms:
-1 + X2 + -4ax + 4a2 = 1 + -1 + 4ax + -4ax + -4a2 + 4a2

Combine like terms: 1 + -1 = 0
-1 + X2 + -4ax + 4a2 = 0 + 4ax + -4ax + -4a2 + 4a2
-1 + X2 + -4ax + 4a2 = 4ax + -4ax + -4a2 + 4a2

Combine like terms: 4ax + -4ax = 0
-1 + X2 + -4ax + 4a2 = 0 + -4a2 + 4a2
-1 + X2 + -4ax + 4a2 = -4a2 + 4a2

Combine like terms: -4a2 + 4a2 = 0
-1 + X2 + -4ax + 4a2 = 0

The solution to this equation could not be determined.