800=x^2-13x+30

Solution for 800=x^2-13x+30 equation:

Simplifying
800 = x2 + -13x + 30

Reorder the terms:
800 = 30 + -13x + x2

Solving
800 = 30 + -13x + x2

Solving for variable 'x'.

Combine like terms: 800 + -30 = 770
770 + 13x + -1x2 = 30 + -13x + x2 + -30 + 13x + -1x2

Reorder the terms:
770 + 13x + -1x2 = 30 + -30 + -13x + 13x + x2 + -1x2

Combine like terms: 30 + -30 = 0
770 + 13x + -1x2 = 0 + -13x + 13x + x2 + -1x2
770 + 13x + -1x2 = -13x + 13x + x2 + -1x2

Combine like terms: -13x + 13x = 0
770 + 13x + -1x2 = 0 + x2 + -1x2
770 + 13x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
770 + 13x + -1x2 = 0

Factor a trinomial.
(35 + -1x)(22 + x) = 0

Subproblem 1
Set the factor '(35 + -1x)' equal to zero and attempt to solve:

Simplifying
35 + -1x = 0

Solving
35 + -1x = 0

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

Add '-35' to each side of the equation.
35 + -35 + -1x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -1x = 0 + -35
-1x = 0 + -35

Combine like terms: 0 + -35 = -35
-1x = -35

Divide each side by '-1'.
x = 35

Simplifying
x = 35
Subproblem 2
Set the factor '(22 + x)' equal to zero and attempt to solve:

Simplifying
22 + x = 0

Solving
22 + x = 0

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

Add '-22' to each side of the equation.
22 + -22 + x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + x = 0 + -22
x = 0 + -22

Combine like terms: 0 + -22 = -22
x = -22

Simplifying
x = -22
Solution
x = {35, -22}