(x+6)*(x+9)=

Solution for (x+6)*(x+9)= equation:

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

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

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

Multiply (6 + x) * (9 + x)
(6(9 + x) + x(9 + x)) = 0
((9 * 6 + x * 6) + x(9 + x)) = 0
((54 + 6x) + x(9 + x)) = 0
(54 + 6x + (9 * x + x * x)) = 0
(54 + 6x + (9x + x2)) = 0

Combine like terms: 6x + 9x = 15x
(54 + 15x + x2) = 0

Solving
54 + 15x + x2 = 0

Solving for variable 'x'.

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

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

Simplifying
9 + x = 0

Solving
9 + x = 0

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

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

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

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

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

Simplifying
6 + x = 0

Solving
6 + x = 0

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

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

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

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

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