2x^2-49x+195=0

Solution for 2x^2-49x+195=0 equation:

Simplifying
2x2 + -49x + 195 = 0

Reorder the terms:
195 + -49x + 2x2 = 0

Solving
195 + -49x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -1x)(39 + -2x) = 0

Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Subproblem 2
Set the factor '(39 + -2x)' equal to zero and attempt to solve:

Simplifying
39 + -2x = 0

Solving
39 + -2x = 0

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

Add '-39' to each side of the equation.
39 + -39 + -2x = 0 + -39

Combine like terms: 39 + -39 = 0
0 + -2x = 0 + -39
-2x = 0 + -39

Combine like terms: 0 + -39 = -39
-2x = -39

Divide each side by '-2'.
x = 19.5

Simplifying
x = 19.5
Solution
x = {5, 19.5}