=(5a-1)(5a+1)

Solution for =(5a-1)(5a+1) equation:

Simplifying
0 = (5a + -1)(5a + 1)

Reorder the terms:
0 = (-1 + 5a)(5a + 1)

Reorder the terms:
0 = (-1 + 5a)(1 + 5a)

Multiply (-1 + 5a) * (1 + 5a)
0 = (-1(1 + 5a) + 5a * (1 + 5a))
0 = ((1 * -1 + 5a * -1) + 5a * (1 + 5a))
0 = ((-1 + -5a) + 5a * (1 + 5a))
0 = (-1 + -5a + (1 * 5a + 5a * 5a))
0 = (-1 + -5a + (5a + 25a2))

Combine like terms: -5a + 5a = 0
0 = (-1 + 0 + 25a2)
0 = (-1 + 25a2)

Solving
0 = -1 + 25a2

Solving for variable 'a'.

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

Add '-25a2' to each side of the equation.
0 + -25a2 = -1 + 25a2 + -25a2
Remove the zero:
-25a2 = -1 + 25a2 + -25a2

Combine like terms: 25a2 + -25a2 = 0
-25a2 = -1 + 0
-25a2 = -1

Divide each side by '-25'.
a2 = 0.04

Simplifying
a2 = 0.04

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