x^2+2ax-1=0

Solution for x^2+2ax-1=0 equation:

Simplifying
x2 + 2ax + -1 = 0

Reorder the terms:
-1 + 2ax + x2 = 0

Solving
-1 + 2ax + x2 = 0

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + 2ax + 1 + x2 = 0 + 1

Reorder the terms:
-1 + 1 + 2ax + x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2ax + x2 = 0 + 1
2ax + x2 = 0 + 1

Combine like terms: 0 + 1 = 1
2ax + x2 = 1

Add '-1x2' to each side of the equation.
2ax + x2 + -1x2 = 1 + -1x2

Combine like terms: x2 + -1x2 = 0
2ax + 0 = 1 + -1x2
2ax = 1 + -1x2

Divide each side by '2x'.
a = 0.5x-1 + -0.5x

Simplifying
a = 0.5x-1 + -0.5x