a^2=135+6a

Solution for a^2=135+6a equation:

Simplifying
a2 = 135 + 6a

Solving
a2 = 135 + 6a

Solving for variable 'a'.

Reorder the terms:
-135 + -6a + a2 = 135 + 6a + -135 + -6a

Reorder the terms:
-135 + -6a + a2 = 135 + -135 + 6a + -6a

Combine like terms: 135 + -135 = 0
-135 + -6a + a2 = 0 + 6a + -6a
-135 + -6a + a2 = 6a + -6a

Combine like terms: 6a + -6a = 0
-135 + -6a + a2 = 0

Factor a trinomial.
(-9 + -1a)(15 + -1a) = 0

Subproblem 1
Set the factor '(-9 + -1a)' equal to zero and attempt to solve:

Simplifying
-9 + -1a = 0

Solving
-9 + -1a = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1a = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1a = 0 + 9
-1a = 0 + 9

Combine like terms: 0 + 9 = 9
-1a = 9

Divide each side by '-1'.
a = -9

Simplifying
a = -9
Subproblem 2
Set the factor '(15 + -1a)' equal to zero and attempt to solve:

Simplifying
15 + -1a = 0

Solving
15 + -1a = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1a = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1a = 0 + -15
-1a = 0 + -15

Combine like terms: 0 + -15 = -15
-1a = -15

Divide each side by '-1'.
a = 15

Simplifying
a = 15
Solution
a = {-9, 15}