2x^2+5x-817=0

Solution for 2x^2+5x-817=0 equation:

Simplifying
2x2 + 5x + -817 = 0

Reorder the terms:
-817 + 5x + 2x2 = 0

Solving
-817 + 5x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-43 + -2x)(19 + -1x) = 0

Subproblem 1
Set the factor '(-43 + -2x)' equal to zero and attempt to solve:

Simplifying
-43 + -2x = 0

Solving
-43 + -2x = 0

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

Add '43' to each side of the equation.
-43 + 43 + -2x = 0 + 43

Combine like terms: -43 + 43 = 0
0 + -2x = 0 + 43
-2x = 0 + 43

Combine like terms: 0 + 43 = 43
-2x = 43

Divide each side by '-2'.
x = -21.5

Simplifying
x = -21.5
Subproblem 2
Set the factor '(19 + -1x)' equal to zero and attempt to solve:

Simplifying
19 + -1x = 0

Solving
19 + -1x = 0

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

Add '-19' to each side of the equation.
19 + -19 + -1x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -1x = 0 + -19
-1x = 0 + -19

Combine like terms: 0 + -19 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19
Solution
x = {-21.5, 19}