22x+9x^2=31

Solution for 22x+9x^2=31 equation:

Simplifying
22x + 9x2 = 31

Solving
22x + 9x2 = 31

Solving for variable 'x'.

Reorder the terms:
-31 + 22x + 9x2 = 31 + -31

Combine like terms: 31 + -31 = 0
-31 + 22x + 9x2 = 0

Factor a trinomial.
(-31 + -9x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-31 + -9x)' equal to zero and attempt to solve:

Simplifying
-31 + -9x = 0

Solving
-31 + -9x = 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 + -9x = 0 + 31

Combine like terms: -31 + 31 = 0
0 + -9x = 0 + 31
-9x = 0 + 31

Combine like terms: 0 + 31 = 31
-9x = 31

Divide each side by '-9'.
x = -3.444444444

Simplifying
x = -3.444444444
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 = {-3.444444444, 1}