(a-11)(a+5)=

Solution for (a-11)(a+5)= equation:

Simplifying
(a + -11)(a + 5) = 0

Reorder the terms:
(-11 + a)(a + 5) = 0

Reorder the terms:
(-11 + a)(5 + a) = 0

Multiply (-11 + a) * (5 + a)
(-11(5 + a) + a(5 + a)) = 0
((5 * -11 + a * -11) + a(5 + a)) = 0
((-55 + -11a) + a(5 + a)) = 0
(-55 + -11a + (5 * a + a * a)) = 0
(-55 + -11a + (5a + a2)) = 0

Combine like terms: -11a + 5a = -6a
(-55 + -6a + a2) = 0

Solving
-55 + -6a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-5 + -1a)(11 + -1a) = 0

Subproblem 1
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
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 = {-5, 11}