(x-20)(x-60)=0

Solution for (x-20)(x-60)=0 equation:

Simplifying
(x + -20)(x + -60) = 0

Reorder the terms:
(-20 + x)(x + -60) = 0

Reorder the terms:
(-20 + x)(-60 + x) = 0

Multiply (-20 + x) * (-60 + x)
(-20(-60 + x) + x(-60 + x)) = 0
((-60 * -20 + x * -20) + x(-60 + x)) = 0
((1200 + -20x) + x(-60 + x)) = 0
(1200 + -20x + (-60 * x + x * x)) = 0
(1200 + -20x + (-60x + x2)) = 0

Combine like terms: -20x + -60x = -80x
(1200 + -80x + x2) = 0

Solving
1200 + -80x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(20 + -1x)(60 + -1x) = 0

Subproblem 1
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Subproblem 2
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
Solution
x = {20, 60}