(x+9)(x-5)=

Solution for (x+9)(x-5)= equation:

Simplifying
(x + 9)(x + -5) = 0

Reorder the terms:
(9 + x)(x + -5) = 0

Reorder the terms:
(9 + x)(-5 + x) = 0

Multiply (9 + x) * (-5 + x)
(9(-5 + x) + x(-5 + x)) = 0
((-5 * 9 + x * 9) + x(-5 + x)) = 0
((-45 + 9x) + x(-5 + x)) = 0
(-45 + 9x + (-5 * x + x * x)) = 0
(-45 + 9x + (-5x + x2)) = 0

Combine like terms: 9x + -5x = 4x
(-45 + 4x + x2) = 0

Solving
-45 + 4x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -1x)(5 + -1x) = 0

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

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 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 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-9, 5}