(x-15)(x-11)=0

Solution for (x-15)(x-11)=0 equation:

Simplifying
(x + -15)(x + -11) = 0

Reorder the terms:
(-15 + x)(x + -11) = 0

Reorder the terms:
(-15 + x)(-11 + x) = 0

Multiply (-15 + x) * (-11 + x)
(-15(-11 + x) + x(-11 + x)) = 0
((-11 * -15 + x * -15) + x(-11 + x)) = 0
((165 + -15x) + x(-11 + x)) = 0
(165 + -15x + (-11 * x + x * x)) = 0
(165 + -15x + (-11x + x2)) = 0

Combine like terms: -15x + -11x = -26x
(165 + -26x + x2) = 0

Solving
165 + -26x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11 + -1x)(15 + -1x) = 0

Subproblem 1
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 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 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {11, 15}