a^2=-12a+64

Solution for a^2=-12a+64 equation:

Simplifying
a2 = -12a + 64

Reorder the terms:
a2 = 64 + -12a

Solving
a2 = 64 + -12a

Solving for variable 'a'.

Reorder the terms:
-64 + 12a + a2 = 64 + -12a + -64 + 12a

Reorder the terms:
-64 + 12a + a2 = 64 + -64 + -12a + 12a

Combine like terms: 64 + -64 = 0
-64 + 12a + a2 = 0 + -12a + 12a
-64 + 12a + a2 = -12a + 12a

Combine like terms: -12a + 12a = 0
-64 + 12a + a2 = 0

Factor a trinomial.
(-16 + -1a)(4 + -1a) = 0

Subproblem 1
Set the factor '(-16 + -1a)' equal to zero and attempt to solve:

Simplifying
-16 + -1a = 0

Solving
-16 + -1a = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1a = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1a = 0 + 16
-1a = 0 + 16

Combine like terms: 0 + 16 = 16
-1a = 16

Divide each side by '-1'.
a = -16

Simplifying
a = -16
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 = {-16, 4}