12a=-a^2

Solution for 12a=-a^2 equation:

Simplifying
12a = -1a2

Solving
12a = -1a2

Solving for variable 'a'.

Combine like terms: -1a2 + a2 = 0
12a + a2 = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(12 + a) = 0

Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0
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 = {0, -12}