(a-4)(a-2)=

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

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

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

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

Multiply (-4 + a) * (-2 + a)
(-4(-2 + a) + a(-2 + a)) = 0
((-2 * -4 + a * -4) + a(-2 + a)) = 0
((8 + -4a) + a(-2 + a)) = 0
(8 + -4a + (-2 * a + a * a)) = 0
(8 + -4a + (-2a + a2)) = 0

Combine like terms: -4a + -2a = -6a
(8 + -6a + a2) = 0

Solving
8 + -6a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(2 + -1a)(4 + -1a) = 0

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 '(4 + -1a)' equal to zero and attempt to solve:

Simplifying
4 + -1a = 0

Solving
4 + -1a = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1a = 0 + -4
-1a = 0 + -4

Combine like terms: 0 + -4 = -4
-1a = -4

Divide each side by '-1'.
a = 4

Simplifying
a = 4
Solution
a = {2, 4}