(a-5)(5a-1)=

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

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

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

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

Multiply (-5 + a) * (-1 + 5a)
(-5(-1 + 5a) + a(-1 + 5a)) = 0
((-1 * -5 + 5a * -5) + a(-1 + 5a)) = 0
((5 + -25a) + a(-1 + 5a)) = 0
(5 + -25a + (-1 * a + 5a * a)) = 0
(5 + -25a + (-1a + 5a2)) = 0

Combine like terms: -25a + -1a = -26a
(5 + -26a + 5a2) = 0

Solving
5 + -26a + 5a2 = 0

Solving for variable 'a'.

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

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

Simplifying
1 + -5a = 0

Solving
1 + -5a = 0

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

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

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

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

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

Simplifying
a = 0.2
Subproblem 2
Set the factor '(5 + -1a)' equal to zero and attempt to solve:

Simplifying
5 + -1a = 0

Solving
5 + -1a = 0

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

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

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

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

Divide each side by '-1'.
a = 5

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