(a+9)(a-6)=

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

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

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

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

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

Combine like terms: 9a + -6a = 3a
(-54 + 3a + a2) = 0

Solving
-54 + 3a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-9 + -1a)(6 + -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 '(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 = {-9, 6}