(2a-1)(a-5)=

Solution for (2a-1)(a-5)= equation:

Simplifying
(2a + -1)(a + -5) = 0

Reorder the terms:
(-1 + 2a)(a + -5) = 0

Reorder the terms:
(-1 + 2a)(-5 + a) = 0

Multiply (-1 + 2a) * (-5 + a)
(-1(-5 + a) + 2a * (-5 + a)) = 0
((-5 * -1 + a * -1) + 2a * (-5 + a)) = 0
((5 + -1a) + 2a * (-5 + a)) = 0
(5 + -1a + (-5 * 2a + a * 2a)) = 0
(5 + -1a + (-10a + 2a2)) = 0

Combine like terms: -1a + -10a = -11a
(5 + -11a + 2a2) = 0

Solving
5 + -11a + 2a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(1 + -2a)(5 + -1a) = 0

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

Simplifying
1 + -2a = 0

Solving
1 + -2a = 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 + -2a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2a = 0 + -1
-2a = 0 + -1

Combine like terms: 0 + -1 = -1
-2a = -1

Divide each side by '-2'.
a = 0.5

Simplifying
a = 0.5
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 = {0.5, 5}