(x-12)(x-4)=

Solution for (x-12)(x-4)= equation:

Simplifying
(x + -12)(x + -4) = 0

Reorder the terms:
(-12 + x)(x + -4) = 0

Reorder the terms:
(-12 + x)(-4 + x) = 0

Multiply (-12 + x) * (-4 + x)
(-12(-4 + x) + x(-4 + x)) = 0
((-4 * -12 + x * -12) + x(-4 + x)) = 0
((48 + -12x) + x(-4 + x)) = 0
(48 + -12x + (-4 * x + x * x)) = 0
(48 + -12x + (-4x + x2)) = 0

Combine like terms: -12x + -4x = -16x
(48 + -16x + x2) = 0

Solving
48 + -16x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -1x)(12 + -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 '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {4, 12}