4X^2-4IX-1=0

Solution for 4X^2-4IX-1=0 equation:

Simplifying
4X2 + -4IX + -1 = 0

Reorder the terms:
-1 + -4IX + 4X2 = 0

Solving
-1 + -4IX + 4X2 = 0

Solving for variable 'I'.

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

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

Reorder the terms:
-1 + 1 + -4IX + 4X2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4IX + 4X2 = 0 + 1
-4IX + 4X2 = 0 + 1

Combine like terms: 0 + 1 = 1
-4IX + 4X2 = 1

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

Combine like terms: 4X2 + -4X2 = 0
-4IX + 0 = 1 + -4X2
-4IX = 1 + -4X2

Divide each side by '-4X'.
I = -0.25X-1 + X

Simplifying
I = -0.25X-1 + X