a*(a+6)=135

Solution for a*(a+6)=135 equation:

Simplifying
a(a + 6) = 135

Reorder the terms:
a(6 + a) = 135
(6 * a + a * a) = 135
(6a + a2) = 135

Solving
6a + a2 = 135

Solving for variable 'a'.

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

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

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

Subproblem 1
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
Subproblem 2
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
Solution
a = {-15, 9}