0=x^2-55x+726

Solution for 0=x^2-55x+726 equation:

Simplifying
0 = x2 + -55x + 726

Reorder the terms:
0 = 726 + -55x + x2

Solving
0 = 726 + -55x + x2

Solving for variable 'x'.

Combine like terms: 0 + -726 = -726
-726 + 55x + -1x2 = 726 + -55x + x2 + -726 + 55x + -1x2

Reorder the terms:
-726 + 55x + -1x2 = 726 + -726 + -55x + 55x + x2 + -1x2

Combine like terms: 726 + -726 = 0
-726 + 55x + -1x2 = 0 + -55x + 55x + x2 + -1x2
-726 + 55x + -1x2 = -55x + 55x + x2 + -1x2

Combine like terms: -55x + 55x = 0
-726 + 55x + -1x2 = 0 + x2 + -1x2
-726 + 55x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-726 + 55x + -1x2 = 0

Factor a trinomial.
(-33 + x)(22 + -1x) = 0

Subproblem 1
Set the factor '(-33 + x)' equal to zero and attempt to solve:

Simplifying
-33 + x = 0

Solving
-33 + x = 0

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

Add '33' to each side of the equation.
-33 + 33 + x = 0 + 33

Combine like terms: -33 + 33 = 0
0 + x = 0 + 33
x = 0 + 33

Combine like terms: 0 + 33 = 33
x = 33

Simplifying
x = 33
Subproblem 2
Set the factor '(22 + -1x)' equal to zero and attempt to solve:

Simplifying
22 + -1x = 0

Solving
22 + -1x = 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 + -1x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = 0 + -22
-1x = 0 + -22

Combine like terms: 0 + -22 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22
Solution
x = {33, 22}