(a-8)(a-1)=

Solution for (a-8)(a-1)= equation:

Simplifying
(a + -8)(a + -1) = 0

Reorder the terms:
(-8 + a)(a + -1) = 0

Reorder the terms:
(-8 + a)(-1 + a) = 0

Multiply (-8 + a) * (-1 + a)
(-8(-1 + a) + a(-1 + a)) = 0
((-1 * -8 + a * -8) + a(-1 + a)) = 0
((8 + -8a) + a(-1 + a)) = 0
(8 + -8a + (-1 * a + a * a)) = 0
(8 + -8a + (-1a + a2)) = 0

Combine like terms: -8a + -1a = -9a
(8 + -9a + a2) = 0

Solving
8 + -9a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(1 + -1a)(8 + -1a) = 0

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

Simplifying
1 + -1a = 0

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

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

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

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

Simplifying
a = 1
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 = {1, 8}