(5z+1)(5z-1)=

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

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

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

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

Multiply (1 + 5z) * (-1 + 5z)
(1(-1 + 5z) + 5z * (-1 + 5z)) = 0
((-1 * 1 + 5z * 1) + 5z * (-1 + 5z)) = 0
((-1 + 5z) + 5z * (-1 + 5z)) = 0
(-1 + 5z + (-1 * 5z + 5z * 5z)) = 0
(-1 + 5z + (-5z + 25z2)) = 0

Combine like terms: 5z + -5z = 0
(-1 + 0 + 25z2) = 0
(-1 + 25z2) = 0

Solving
-1 + 25z2 = 0

Solving for variable 'z'.

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

Add '1' to each side of the equation.
-1 + 1 + 25z2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 25z2 = 0 + 1
25z2 = 0 + 1

Combine like terms: 0 + 1 = 1
25z2 = 1

Divide each side by '25'.
z2 = 0.04

Simplifying
z2 = 0.04

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