251x^2+23x-274=0

Solution for 251x^2+23x-274=0 equation:

Simplifying
251x2 + 23x + -274 = 0

Reorder the terms:
-274 + 23x + 251x2 = 0

Solving
-274 + 23x + 251x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-274 + -251x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-274 + -251x)' equal to zero and attempt to solve:

Simplifying
-274 + -251x = 0

Solving
-274 + -251x = 0

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

Add '274' to each side of the equation.
-274 + 274 + -251x = 0 + 274

Combine like terms: -274 + 274 = 0
0 + -251x = 0 + 274
-251x = 0 + 274

Combine like terms: 0 + 274 = 274
-251x = 274

Divide each side by '-251'.
x = -1.091633466

Simplifying
x = -1.091633466
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-1.091633466, 1}