(a-11)(a+4)=

Solution for (a-11)(a+4)= equation:

Simplifying
(a + -11)(a + 4) = 0

Reorder the terms:
(-11 + a)(a + 4) = 0

Reorder the terms:
(-11 + a)(4 + a) = 0

Multiply (-11 + a) * (4 + a)
(-11(4 + a) + a(4 + a)) = 0
((4 * -11 + a * -11) + a(4 + a)) = 0
((-44 + -11a) + a(4 + a)) = 0
(-44 + -11a + (4 * a + a * a)) = 0
(-44 + -11a + (4a + a2)) = 0

Combine like terms: -11a + 4a = -7a
(-44 + -7a + a2) = 0

Solving
-44 + -7a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-4 + -1a)(11 + -1a) = 0

Subproblem 1
Set the factor '(-4 + -1a)' equal to zero and attempt to solve:

Simplifying
-4 + -1a = 0

Solving
-4 + -1a = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1a = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1a = 0 + 4
-1a = 0 + 4

Combine like terms: 0 + 4 = 4
-1a = 4

Divide each side by '-1'.
a = -4

Simplifying
a = -4
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 = {-4, 11}