2x^2+1x-253=0

Solution for 2x^2+1x-253=0 equation:

Simplifying
2x2 + 1x + -253 = 0

Reorder the terms:
-253 + 1x + 2x2 = 0

Solving
-253 + 1x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-23 + -2x)(11 + -1x) = 0

Subproblem 1
Set the factor '(-23 + -2x)' equal to zero and attempt to solve:

Simplifying
-23 + -2x = 0

Solving
-23 + -2x = 0

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

Add '23' to each side of the equation.
-23 + 23 + -2x = 0 + 23

Combine like terms: -23 + 23 = 0
0 + -2x = 0 + 23
-2x = 0 + 23

Combine like terms: 0 + 23 = 23
-2x = 23

Divide each side by '-2'.
x = -11.5

Simplifying
x = -11.5
Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-11.5, 11}