(X+3)(X+9)=0

Solution for (X+3)(X+9)=0 equation:

Simplifying
(X + 3)(X + 9) = 0

Reorder the terms:
(3 + X)(X + 9) = 0

Reorder the terms:
(3 + X)(9 + X) = 0

Multiply (3 + X) * (9 + X)
(3(9 + X) + X(9 + X)) = 0
((9 * 3 + X * 3) + X(9 + X)) = 0
((27 + 3X) + X(9 + X)) = 0
(27 + 3X + (9 * X + X * X)) = 0
(27 + 3X + (9X + X2)) = 0

Combine like terms: 3X + 9X = 12X
(27 + 12X + X2) = 0

Solving
27 + 12X + X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(9 + X)(3 + 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 '(3 + X)' equal to zero and attempt to solve:

Simplifying
3 + X = 0

Solving
3 + X = 0

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

Add '-3' to each side of the equation.
3 + -3 + X = 0 + -3

Combine like terms: 3 + -3 = 0
0 + X = 0 + -3
X = 0 + -3

Combine like terms: 0 + -3 = -3
X = -3

Simplifying
X = -3
Solution
X = {-9, -3}