2x^2-200x+4950=0

Solution for 2x^2-200x+4950=0 equation:

Simplifying
2x2 + -200x + 4950 = 0

Reorder the terms:
4950 + -200x + 2x2 = 0

Solving
4950 + -200x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2475 + -100x + x2) = 0

Factor a trinomial.
2((45 + -1x)(55 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(45 + -1x)' equal to zero and attempt to solve:

Simplifying
45 + -1x = 0

Solving
45 + -1x = 0

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

Add '-45' to each side of the equation.
45 + -45 + -1x = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -1x = 0 + -45
-1x = 0 + -45

Combine like terms: 0 + -45 = -45
-1x = -45

Divide each side by '-1'.
x = 45

Simplifying
x = 45
Subproblem 2
Set the factor '(55 + -1x)' equal to zero and attempt to solve:

Simplifying
55 + -1x = 0

Solving
55 + -1x = 0

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

Add '-55' to each side of the equation.
55 + -55 + -1x = 0 + -55

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

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

Divide each side by '-1'.
x = 55

Simplifying
x = 55
Solution
x = {45, 55}