2x^2-57x+235=0

Solution for 2x^2-57x+235=0 equation:

Simplifying
2x2 + -57x + 235 = 0

Reorder the terms:
235 + -57x + 2x2 = 0

Solving
235 + -57x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -1x)(47 + -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 '(47 + -2x)' equal to zero and attempt to solve:

Simplifying
47 + -2x = 0

Solving
47 + -2x = 0

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

Add '-47' to each side of the equation.
47 + -47 + -2x = 0 + -47

Combine like terms: 47 + -47 = 0
0 + -2x = 0 + -47
-2x = 0 + -47

Combine like terms: 0 + -47 = -47
-2x = -47

Divide each side by '-2'.
x = 23.5

Simplifying
x = 23.5
Solution
x = {5, 23.5}