-48+16a-a^2=0

Solution for -48+16a-a^2=0 equation:

Simplifying
-48 + 16a + -1a2 = 0

Solving
-48 + 16a + -1a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-12 + a)(4 + -1a) = 0

Subproblem 1
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
Subproblem 2
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
Solution
a = {12, 4}