(x+4)(x+9)=

Solution for (x+4)(x+9)= equation:

Simplifying
(x + 4)(x + 9) = 0

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

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

Multiply (4 + x) * (9 + x)
(4(9 + x) + x(9 + x)) = 0
((9 * 4 + x * 4) + x(9 + x)) = 0
((36 + 4x) + x(9 + x)) = 0
(36 + 4x + (9 * x + x * x)) = 0
(36 + 4x + (9x + x2)) = 0

Combine like terms: 4x + 9x = 13x
(36 + 13x + x2) = 0

Solving
36 + 13x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + x)(4 + 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 '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {-9, -4}