2x^2+x-820=0

Solution for 2x^2+x-820=0 equation:

Simplifying
2x2 + x + -820 = 0

Reorder the terms:
-820 + x + 2x2 = 0

Solving
-820 + x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-41 + -2x)(20 + -1x) = 0

Subproblem 1
Set the factor '(-41 + -2x)' equal to zero and attempt to solve:

Simplifying
-41 + -2x = 0

Solving
-41 + -2x = 0

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

Add '41' to each side of the equation.
-41 + 41 + -2x = 0 + 41

Combine like terms: -41 + 41 = 0
0 + -2x = 0 + 41
-2x = 0 + 41

Combine like terms: 0 + 41 = 41
-2x = 41

Divide each side by '-2'.
x = -20.5

Simplifying
x = -20.5
Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {-20.5, 20}