(a-2)*(a-8)=

Solution for (a-2)*(a-8)= equation:

Simplifying
(a + -2)(a + -8) = 0

Reorder the terms:
(-2 + a)(a + -8) = 0

Reorder the terms:
(-2 + a)(-8 + a) = 0

Multiply (-2 + a) * (-8 + a)
(-2(-8 + a) + a(-8 + a)) = 0
((-8 * -2 + a * -2) + a(-8 + a)) = 0
((16 + -2a) + a(-8 + a)) = 0
(16 + -2a + (-8 * a + a * a)) = 0
(16 + -2a + (-8a + a2)) = 0

Combine like terms: -2a + -8a = -10a
(16 + -10a + a2) = 0

Solving
16 + -10a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(2 + -1a)(8 + -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 '(8 + -1a)' equal to zero and attempt to solve:

Simplifying
8 + -1a = 0

Solving
8 + -1a = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1a = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1a = 0 + -8
-1a = 0 + -8

Combine like terms: 0 + -8 = -8
-1a = -8

Divide each side by '-1'.
a = 8

Simplifying
a = 8
Solution
a = {2, 8}