(5-y)(5y-1)=0

Solution for (5-y)(5y-1)=0 equation:

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

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

Multiply (5 + -1y) * (-1 + 5y)
(5(-1 + 5y) + -1y * (-1 + 5y)) = 0
((-1 * 5 + 5y * 5) + -1y * (-1 + 5y)) = 0
((-5 + 25y) + -1y * (-1 + 5y)) = 0
(-5 + 25y + (-1 * -1y + 5y * -1y)) = 0
(-5 + 25y + (1y + -5y2)) = 0

Combine like terms: 25y + 1y = 26y
(-5 + 26y + -5y2) = 0

Solving
-5 + 26y + -5y2 = 0

Solving for variable 'y'.

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

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

Simplifying
-5 + y = 0

Solving
-5 + y = 0

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

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

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

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

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

Simplifying
1 + -5y = 0

Solving
1 + -5y = 0

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

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

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

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

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

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