(x-72)(x-21)=

Solution for (x-72)(x-21)= equation:

Simplifying
(x + -72)(x + -21) = 0

Reorder the terms:
(-72 + x)(x + -21) = 0

Reorder the terms:
(-72 + x)(-21 + x) = 0

Multiply (-72 + x) * (-21 + x)
(-72(-21 + x) + x(-21 + x)) = 0
((-21 * -72 + x * -72) + x(-21 + x)) = 0
((1512 + -72x) + x(-21 + x)) = 0
(1512 + -72x + (-21 * x + x * x)) = 0
(1512 + -72x + (-21x + x2)) = 0

Combine like terms: -72x + -21x = -93x
(1512 + -93x + x2) = 0

Solving
1512 + -93x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(21 + -1x)(72 + -1x) = 0

Subproblem 1
Set the factor '(21 + -1x)' equal to zero and attempt to solve:

Simplifying
21 + -1x = 0

Solving
21 + -1x = 0

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

Add '-21' to each side of the equation.
21 + -21 + -1x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = 0 + -21
-1x = 0 + -21

Combine like terms: 0 + -21 = -21
-1x = -21

Divide each side by '-1'.
x = 21

Simplifying
x = 21
Subproblem 2
Set the factor '(72 + -1x)' equal to zero and attempt to solve:

Simplifying
72 + -1x = 0

Solving
72 + -1x = 0

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

Add '-72' to each side of the equation.
72 + -72 + -1x = 0 + -72

Combine like terms: 72 + -72 = 0
0 + -1x = 0 + -72
-1x = 0 + -72

Combine like terms: 0 + -72 = -72
-1x = -72

Divide each side by '-1'.
x = 72

Simplifying
x = 72
Solution
x = {21, 72}