(a+6)(a+9)=

Solution for (a+6)(a+9)= equation:

Simplifying
(a + 6)(a + 9) = 0

Reorder the terms:
(6 + a)(a + 9) = 0

Reorder the terms:
(6 + a)(9 + a) = 0

Multiply (6 + a) * (9 + a)
(6(9 + a) + a(9 + a)) = 0
((9 * 6 + a * 6) + a(9 + a)) = 0
((54 + 6a) + a(9 + a)) = 0
(54 + 6a + (9 * a + a * a)) = 0
(54 + 6a + (9a + a2)) = 0

Combine like terms: 6a + 9a = 15a
(54 + 15a + a2) = 0

Solving
54 + 15a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(9 + a)(6 + a) = 0

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

Simplifying
9 + a = 0

Solving
9 + a = 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 + a = 0 + -9

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

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

Simplifying
a = -9
Subproblem 2
Set the factor '(6 + a)' equal to zero and attempt to solve:

Simplifying
6 + a = 0

Solving
6 + a = 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 + a = 0 + -6

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

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

Simplifying
a = -6
Solution
a = {-9, -6}