(2a-4)(a-5)=

Solution for (2a-4)(a-5)= equation:

Simplifying
(2a + -4)(a + -5) = 0

Reorder the terms:
(-4 + 2a)(a + -5) = 0

Reorder the terms:
(-4 + 2a)(-5 + a) = 0

Multiply (-4 + 2a) * (-5 + a)
(-4(-5 + a) + 2a * (-5 + a)) = 0
((-5 * -4 + a * -4) + 2a * (-5 + a)) = 0
((20 + -4a) + 2a * (-5 + a)) = 0
(20 + -4a + (-5 * 2a + a * 2a)) = 0
(20 + -4a + (-10a + 2a2)) = 0

Combine like terms: -4a + -10a = -14a
(20 + -14a + 2a2) = 0

Solving
20 + -14a + 2a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + -7a + a2) = 0

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

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

Simplifying
2 + -1a = 0

Solving
2 + -1a = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1a = 0 + -2

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

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

Divide each side by '-1'.
a = 2

Simplifying
a = 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 = {2, 5}