(5a-2)(5a+2)=0

Solution for (5a-2)(5a+2)=0 equation:

Simplifying
(5a + -2)(5a + 2) = 0

Reorder the terms:
(-2 + 5a)(5a + 2) = 0

Reorder the terms:
(-2 + 5a)(2 + 5a) = 0

Multiply (-2 + 5a) * (2 + 5a)
(-2(2 + 5a) + 5a * (2 + 5a)) = 0
((2 * -2 + 5a * -2) + 5a * (2 + 5a)) = 0
((-4 + -10a) + 5a * (2 + 5a)) = 0
(-4 + -10a + (2 * 5a + 5a * 5a)) = 0
(-4 + -10a + (10a + 25a2)) = 0

Combine like terms: -10a + 10a = 0
(-4 + 0 + 25a2) = 0
(-4 + 25a2) = 0

Solving
-4 + 25a2 = 0

Solving for variable 'a'.

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

Add '4' to each side of the equation.
-4 + 4 + 25a2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 25a2 = 0 + 4
25a2 = 0 + 4

Combine like terms: 0 + 4 = 4
25a2 = 4

Divide each side by '25'.
a2 = 0.16

Simplifying
a2 = 0.16

Take the square root of each side:
a = {-0.4, 0.4}