(x-5)(x-9)=

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

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

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

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

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

Combine like terms: -5x + -9x = -14x
(45 + -14x + x2) = 0

Solving
45 + -14x + x2 = 0

Solving for variable 'x'.

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

Subproblem 1
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
Subproblem 2
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
Solution
x = {5, 9}