2x^2+x=666

Solution for 2x^2+x=666 equation:

Simplifying
2x2 + x = 666

Reorder the terms:
x + 2x2 = 666

Solving
x + 2x2 = 666

Solving for variable 'x'.

Reorder the terms:
-666 + x + 2x2 = 666 + -666

Combine like terms: 666 + -666 = 0
-666 + x + 2x2 = 0

Factor a trinomial.
(-37 + -2x)(18 + -1x) = 0

Subproblem 1
Set the factor '(-37 + -2x)' equal to zero and attempt to solve:

Simplifying
-37 + -2x = 0

Solving
-37 + -2x = 0

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

Add '37' to each side of the equation.
-37 + 37 + -2x = 0 + 37

Combine like terms: -37 + 37 = 0
0 + -2x = 0 + 37
-2x = 0 + 37

Combine like terms: 0 + 37 = 37
-2x = 37

Divide each side by '-2'.
x = -18.5

Simplifying
x = -18.5
Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18
Solution
x = {-18.5, 18}