9x^2+22=31x

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

Simplifying
9x2 + 22 = 31x

Reorder the terms:
22 + 9x2 = 31x

Solving
22 + 9x2 = 31x

Solving for variable 'x'.

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

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

Factor a trinomial.
(1 + -1x)(22 + -9x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(22 + -9x)' equal to zero and attempt to solve:

Simplifying
22 + -9x = 0

Solving
22 + -9x = 0

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

Add '-22' to each side of the equation.
22 + -22 + -9x = 0 + -22

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

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

Divide each side by '-9'.
x = 2.444444444

Simplifying
x = 2.444444444
Solution
x = {1, 2.444444444}