2x^2+33*x+31=0

Solution for 2x^2+33*x+31=0 equation:

Simplifying
2x2 + 33x + 31 = 0

Reorder the terms:
31 + 33x + 2x2 = 0

Solving
31 + 33x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(31 + 2x)(1 + x) = 0

Subproblem 1
Set the factor '(31 + 2x)' equal to zero and attempt to solve:

Simplifying
31 + 2x = 0

Solving
31 + 2x = 0

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

Add '-31' to each side of the equation.
31 + -31 + 2x = 0 + -31

Combine like terms: 31 + -31 = 0
0 + 2x = 0 + -31
2x = 0 + -31

Combine like terms: 0 + -31 = -31
2x = -31

Divide each side by '2'.
x = -15.5

Simplifying
x = -15.5
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

Simplifying
x = -1
Solution
x = {-15.5, -1}