0=x^2-36x+308

Solution for 0=x^2-36x+308 equation:

Simplifying
0 = x2 + -36x + 308

Reorder the terms:
0 = 308 + -36x + x2

Solving
0 = 308 + -36x + x2

Solving for variable 'x'.

Combine like terms: 0 + -308 = -308
-308 + 36x + -1x2 = 308 + -36x + x2 + -308 + 36x + -1x2

Reorder the terms:
-308 + 36x + -1x2 = 308 + -308 + -36x + 36x + x2 + -1x2

Combine like terms: 308 + -308 = 0
-308 + 36x + -1x2 = 0 + -36x + 36x + x2 + -1x2
-308 + 36x + -1x2 = -36x + 36x + x2 + -1x2

Combine like terms: -36x + 36x = 0
-308 + 36x + -1x2 = 0 + x2 + -1x2
-308 + 36x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-308 + 36x + -1x2 = 0

Factor a trinomial.
(-22 + x)(14 + -1x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14
Solution
x = {22, 14}