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

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

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

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

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

Combine like terms: 25z + 1z = 26z
(-5 + 26z + -5z2) = 0

Solving
-5 + 26z + -5z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-5 + z)(1 + -5z) = 0

Subproblem 1
Set the factor '(-5 + z)' equal to zero and attempt to solve:

Simplifying
-5 + z = 0

Solving
-5 + z = 0

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

Add '5' to each side of the equation.
-5 + 5 + z = 0 + 5

Combine like terms: -5 + 5 = 0
0 + z = 0 + 5
z = 0 + 5

Combine like terms: 0 + 5 = 5
z = 5

Simplifying
z = 5
Subproblem 2
Set the factor '(1 + -5z)' equal to zero and attempt to solve:

Simplifying
1 + -5z = 0

Solving
1 + -5z = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5z = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5z = 0 + -1
-5z = 0 + -1

Combine like terms: 0 + -1 = -1
-5z = -1

Divide each side by '-5'.
z = 0.2

Simplifying
z = 0.2
Solution
z = {5, 0.2}