2x^2-202x+3900=0

Solution for 2x^2-202x+3900=0 equation:

Simplifying
2x2 + -202x + 3900 = 0

Reorder the terms:
3900 + -202x + 2x2 = 0

Solving
3900 + -202x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1950 + -101x + x2) = 0

Factor a trinomial.
2((26 + -1x)(75 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(26 + -1x)' equal to zero and attempt to solve:

Simplifying
26 + -1x = 0

Solving
26 + -1x = 0

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

Add '-26' to each side of the equation.
26 + -26 + -1x = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -1x = 0 + -26
-1x = 0 + -26

Combine like terms: 0 + -26 = -26
-1x = -26

Divide each side by '-1'.
x = 26

Simplifying
x = 26
Subproblem 2
Set the factor '(75 + -1x)' equal to zero and attempt to solve:

Simplifying
75 + -1x = 0

Solving
75 + -1x = 0

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

Add '-75' to each side of the equation.
75 + -75 + -1x = 0 + -75

Combine like terms: 75 + -75 = 0
0 + -1x = 0 + -75
-1x = 0 + -75

Combine like terms: 0 + -75 = -75
-1x = -75

Divide each side by '-1'.
x = 75

Simplifying
x = 75
Solution
x = {26, 75}