(x+9)(x+16)=0

Solution for (x+9)(x+16)=0 equation:

Simplifying
(x + 9)(x + 16) = 0

Reorder the terms:
(9 + x)(x + 16) = 0

Reorder the terms:
(9 + x)(16 + x) = 0

Multiply (9 + x) * (16 + x)
(9(16 + x) + x(16 + x)) = 0
((16 * 9 + x * 9) + x(16 + x)) = 0
((144 + 9x) + x(16 + x)) = 0
(144 + 9x + (16 * x + x * x)) = 0
(144 + 9x + (16x + x2)) = 0

Combine like terms: 9x + 16x = 25x
(144 + 25x + x2) = 0

Solving
144 + 25x + x2 = 0

Solving for variable 'x'.

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

Subproblem 1
Set the factor '(16 + x)' equal to zero and attempt to solve:

Simplifying
16 + x = 0

Solving
16 + x = 0

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

Add '-16' to each side of the equation.
16 + -16 + x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + x = 0 + -16
x = 0 + -16

Combine like terms: 0 + -16 = -16
x = -16

Simplifying
x = -16
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 = {-16, -9}