25a^2x^2-1=0

Solution for 25a^2x^2-1=0 equation:

Simplifying
25a2x2 + -1 = 0

Reorder the terms:
-1 + 25a2x2 = 0

Solving
-1 + 25a2x2 = 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 + 1 + 25a2x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 25a2x2 = 0 + 1
25a2x2 = 0 + 1

Combine like terms: 0 + 1 = 1
25a2x2 = 1

Divide each side by '25x2'.
a2 = 0.04x-2

Simplifying
a2 = 0.04x-2

Take the square root of each side:
a = {-0.2x-1, 0.2x-1}