x^2-1132x+35200=0

Solution for x^2-1132x+35200=0 equation:

Simplifying
x2 + -1132x + 35200 = 0

Reorder the terms:
35200 + -1132x + x2 = 0

Solving
35200 + -1132x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(32 + -1x)(1100 + -1x) = 0

Subproblem 1
Set the factor '(32 + -1x)' equal to zero and attempt to solve:

Simplifying
32 + -1x = 0

Solving
32 + -1x = 0

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

Add '-32' to each side of the equation.
32 + -32 + -1x = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -1x = 0 + -32
-1x = 0 + -32

Combine like terms: 0 + -32 = -32
-1x = -32

Divide each side by '-1'.
x = 32

Simplifying
x = 32
Subproblem 2
Set the factor '(1100 + -1x)' equal to zero and attempt to solve:

Simplifying
1100 + -1x = 0

Solving
1100 + -1x = 0

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

Add '-1100' to each side of the equation.
1100 + -1100 + -1x = 0 + -1100

Combine like terms: 1100 + -1100 = 0
0 + -1x = 0 + -1100
-1x = 0 + -1100

Combine like terms: 0 + -1100 = -1100
-1x = -1100

Divide each side by '-1'.
x = 1100

Simplifying
x = 1100
Solution
x = {32, 1100}