(x-50)(x-20)=0

Solution for (x-50)(x-20)=0 equation:

Simplifying
(x + -50)(x + -20) = 0

Reorder the terms:
(-50 + x)(x + -20) = 0

Reorder the terms:
(-50 + x)(-20 + x) = 0

Multiply (-50 + x) * (-20 + x)
(-50(-20 + x) + x(-20 + x)) = 0
((-20 * -50 + x * -50) + x(-20 + x)) = 0
((1000 + -50x) + x(-20 + x)) = 0
(1000 + -50x + (-20 * x + x * x)) = 0
(1000 + -50x + (-20x + x2)) = 0

Combine like terms: -50x + -20x = -70x
(1000 + -70x + x2) = 0

Solving
1000 + -70x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(20 + -1x)(50 + -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 '(50 + -1x)' equal to zero and attempt to solve:

Simplifying
50 + -1x = 0

Solving
50 + -1x = 0

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

Add '-50' to each side of the equation.
50 + -50 + -1x = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -1x = 0 + -50
-1x = 0 + -50

Combine like terms: 0 + -50 = -50
-1x = -50

Divide each side by '-1'.
x = 50

Simplifying
x = 50
Solution
x = {20, 50}