(5z-2)(5z+2)=

Solution for (5z-2)(5z+2)= equation:

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

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

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

Multiply (-2 + 5z) * (2 + 5z)
(-2(2 + 5z) + 5z * (2 + 5z)) = 0
((2 * -2 + 5z * -2) + 5z * (2 + 5z)) = 0
((-4 + -10z) + 5z * (2 + 5z)) = 0
(-4 + -10z + (2 * 5z + 5z * 5z)) = 0
(-4 + -10z + (10z + 25z2)) = 0

Combine like terms: -10z + 10z = 0
(-4 + 0 + 25z2) = 0
(-4 + 25z2) = 0

Solving
-4 + 25z2 = 0

Solving for variable 'z'.

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

Add '4' to each side of the equation.
-4 + 4 + 25z2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 25z2 = 0 + 4
25z2 = 0 + 4

Combine like terms: 0 + 4 = 4
25z2 = 4

Divide each side by '25'.
z2 = 0.16

Simplifying
z2 = 0.16

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