(X-60)(X-100)=0

Solution for (X-60)(X-100)=0 equation:

Simplifying
(X + -60)(X + -100) = 0

Reorder the terms:
(-60 + X)(X + -100) = 0

Reorder the terms:
(-60 + X)(-100 + X) = 0

Multiply (-60 + X) * (-100 + X)
(-60(-100 + X) + X(-100 + X)) = 0
((-100 * -60 + X * -60) + X(-100 + X)) = 0
((6000 + -60X) + X(-100 + X)) = 0
(6000 + -60X + (-100 * X + X * X)) = 0
(6000 + -60X + (-100X + X2)) = 0

Combine like terms: -60X + -100X = -160X
(6000 + -160X + X2) = 0

Solving
6000 + -160X + X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(60 + -1X)(100 + -1X) = 0

Subproblem 1
Set the factor '(60 + -1X)' equal to zero and attempt to solve:

Simplifying
60 + -1X = 0

Solving
60 + -1X = 0

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

Add '-60' to each side of the equation.
60 + -60 + -1X = 0 + -60

Combine like terms: 60 + -60 = 0
0 + -1X = 0 + -60
-1X = 0 + -60

Combine like terms: 0 + -60 = -60
-1X = -60

Divide each side by '-1'.
X = 60

Simplifying
X = 60
Subproblem 2
Set the factor '(100 + -1X)' equal to zero and attempt to solve:

Simplifying
100 + -1X = 0

Solving
100 + -1X = 0

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

Add '-100' to each side of the equation.
100 + -100 + -1X = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -1X = 0 + -100
-1X = 0 + -100

Combine like terms: 0 + -100 = -100
-1X = -100

Divide each side by '-1'.
X = 100

Simplifying
X = 100
Solution
X = {60, 100}