=(a-11)(a+5)

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

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

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

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

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

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

Solving
0 = -55 + -6a + a2

Solving for variable 'a'.

Combine like terms: 0 + 55 = 55
55 + 6a + -1a2 = -55 + -6a + a2 + 55 + 6a + -1a2

Reorder the terms:
55 + 6a + -1a2 = -55 + 55 + -6a + 6a + a2 + -1a2

Combine like terms: -55 + 55 = 0
55 + 6a + -1a2 = 0 + -6a + 6a + a2 + -1a2
55 + 6a + -1a2 = -6a + 6a + a2 + -1a2

Combine like terms: -6a + 6a = 0
55 + 6a + -1a2 = 0 + a2 + -1a2
55 + 6a + -1a2 = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
55 + 6a + -1a2 = 0

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

Subproblem 1
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
Subproblem 2
Set the factor '(5 + a)' equal to zero and attempt to solve:

Simplifying
5 + a = 0

Solving
5 + a = 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 + a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + a = 0 + -5
a = 0 + -5

Combine like terms: 0 + -5 = -5
a = -5

Simplifying
a = -5
Solution
a = {11, -5}