(x+9)(x+15)=

Solution for (x+9)(x+15)= equation:

Simplifying
(x + 9)(x + 15) = 0

Reorder the terms:
(9 + x)(x + 15) = 0

Reorder the terms:
(9 + x)(15 + x) = 0

Multiply (9 + x) * (15 + x)
(9(15 + x) + x(15 + x)) = 0
((15 * 9 + x * 9) + x(15 + x)) = 0
((135 + 9x) + x(15 + x)) = 0
(135 + 9x + (15 * x + x * x)) = 0
(135 + 9x + (15x + x2)) = 0

Combine like terms: 9x + 15x = 24x
(135 + 24x + x2) = 0

Solving
135 + 24x + x2 = 0

Solving for variable 'x'.

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

Subproblem 1
Set the factor '(15 + x)' equal to zero and attempt to solve:

Simplifying
15 + x = 0

Solving
15 + x = 0

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

Add '-15' to each side of the equation.
15 + -15 + x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + x = 0 + -15
x = 0 + -15

Combine like terms: 0 + -15 = -15
x = -15

Simplifying
x = -15
Subproblem 2
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
Solution
x = {-15, -9}