a^2=24+2a

Solution for a^2=24+2a equation:

Simplifying
a2 = 24 + 2a

Solving
a2 = 24 + 2a

Solving for variable 'a'.

Reorder the terms:
-24 + -2a + a2 = 24 + 2a + -24 + -2a

Reorder the terms:
-24 + -2a + a2 = 24 + -24 + 2a + -2a

Combine like terms: 24 + -24 = 0
-24 + -2a + a2 = 0 + 2a + -2a
-24 + -2a + a2 = 2a + -2a

Combine like terms: 2a + -2a = 0
-24 + -2a + a2 = 0

Factor a trinomial.
(-4 + -1a)(6 + -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 '(6 + -1a)' equal to zero and attempt to solve:

Simplifying
6 + -1a = 0

Solving
6 + -1a = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1a = 0 + -6
-1a = 0 + -6

Combine like terms: 0 + -6 = -6
-1a = -6

Divide each side by '-1'.
a = 6

Simplifying
a = 6
Solution
a = {-4, 6}