-a^2-8a+48=

Solution for -a^2-8a+48= equation:

Simplifying
-1a2 + -8a + 48 = 0

Reorder the terms:
48 + -8a + -1a2 = 0

Solving
48 + -8a + -1a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(4 + -1a)(12 + a) = 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 '(12 + a)' equal to zero and attempt to solve:

Simplifying
12 + a = 0

Solving
12 + a = 0

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

Add '-12' to each side of the equation.
12 + -12 + a = 0 + -12

Combine like terms: 12 + -12 = 0
0 + a = 0 + -12
a = 0 + -12

Combine like terms: 0 + -12 = -12
a = -12

Simplifying
a = -12
Solution
a = {4, -12}