x^2-1734x+57800=0

Solution for x^2-1734x+57800=0 equation:

Simplifying
x2 + -1734x + 57800 = 0

Reorder the terms:
57800 + -1734x + x2 = 0

Solving
57800 + -1734x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(34 + -1x)(1700 + -1x) = 0

Subproblem 1
Set the factor '(34 + -1x)' equal to zero and attempt to solve:

Simplifying
34 + -1x = 0

Solving
34 + -1x = 0

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

Add '-34' to each side of the equation.
34 + -34 + -1x = 0 + -34

Combine like terms: 34 + -34 = 0
0 + -1x = 0 + -34
-1x = 0 + -34

Combine like terms: 0 + -34 = -34
-1x = -34

Divide each side by '-1'.
x = 34

Simplifying
x = 34
Subproblem 2
Set the factor '(1700 + -1x)' equal to zero and attempt to solve:

Simplifying
1700 + -1x = 0

Solving
1700 + -1x = 0

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

Add '-1700' to each side of the equation.
1700 + -1700 + -1x = 0 + -1700

Combine like terms: 1700 + -1700 = 0
0 + -1x = 0 + -1700
-1x = 0 + -1700

Combine like terms: 0 + -1700 = -1700
-1x = -1700

Divide each side by '-1'.
x = 1700

Simplifying
x = 1700
Solution
x = {34, 1700}