0=x^2-60x+800

Solution for 0=x^2-60x+800 equation:

Simplifying
0 = x2 + -60x + 800

Reorder the terms:
0 = 800 + -60x + x2

Solving
0 = 800 + -60x + x2

Solving for variable 'x'.

Combine like terms: 0 + -800 = -800
-800 + 60x + -1x2 = 800 + -60x + x2 + -800 + 60x + -1x2

Reorder the terms:
-800 + 60x + -1x2 = 800 + -800 + -60x + 60x + x2 + -1x2

Combine like terms: 800 + -800 = 0
-800 + 60x + -1x2 = 0 + -60x + 60x + x2 + -1x2
-800 + 60x + -1x2 = -60x + 60x + x2 + -1x2

Combine like terms: -60x + 60x = 0
-800 + 60x + -1x2 = 0 + x2 + -1x2
-800 + 60x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-800 + 60x + -1x2 = 0

Factor a trinomial.
(-40 + x)(20 + -1x) = 0

Subproblem 1
Set the factor '(-40 + x)' equal to zero and attempt to solve:

Simplifying
-40 + x = 0

Solving
-40 + x = 0

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

Add '40' to each side of the equation.
-40 + 40 + x = 0 + 40

Combine like terms: -40 + 40 = 0
0 + x = 0 + 40
x = 0 + 40

Combine like terms: 0 + 40 = 40
x = 40

Simplifying
x = 40
Subproblem 2
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
Solution
x = {40, 20}