(a-1)(a-11)=

Solution for (a-1)(a-11)= equation:

Simplifying
(a + -1)(a + -11) = 0

Reorder the terms:
(-1 + a)(a + -11) = 0

Reorder the terms:
(-1 + a)(-11 + a) = 0

Multiply (-1 + a) * (-11 + a)
(-1(-11 + a) + a(-11 + a)) = 0
((-11 * -1 + a * -1) + a(-11 + a)) = 0
((11 + -1a) + a(-11 + a)) = 0
(11 + -1a + (-11 * a + a * a)) = 0
(11 + -1a + (-11a + a2)) = 0

Combine like terms: -1a + -11a = -12a
(11 + -12a + a2) = 0

Solving
11 + -12a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(1 + -1a)(11 + -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 '(11 + -1a)' equal to zero and attempt to solve:

Simplifying
11 + -1a = 0

Solving
11 + -1a = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1a = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1a = 0 + -11
-1a = 0 + -11

Combine like terms: 0 + -11 = -11
-1a = -11

Divide each side by '-1'.
a = 11

Simplifying
a = 11
Solution
a = {1, 11}