(x-11)(x-4)=0

Solution for (x-11)(x-4)=0 equation:

Simplifying
(x + -11)(x + -4) = 0

Reorder the terms:
(-11 + x)(x + -4) = 0

Reorder the terms:
(-11 + x)(-4 + x) = 0

Multiply (-11 + x) * (-4 + x)
(-11(-4 + x) + x(-4 + x)) = 0
((-4 * -11 + x * -11) + x(-4 + x)) = 0
((44 + -11x) + x(-4 + x)) = 0
(44 + -11x + (-4 * x + x * x)) = 0
(44 + -11x + (-4x + x2)) = 0

Combine like terms: -11x + -4x = -15x
(44 + -15x + x2) = 0

Solving
44 + -15x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -1x)(11 + -1x) = 0

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Subproblem 2
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
Solution
x = {4, 11}