9x^2+x-38=0

Solution for 9x^2+x-38=0 equation:

Simplifying
9x2 + x + -38 = 0

Reorder the terms:
-38 + x + 9x2 = 0

Solving
-38 + x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-19 + -9x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-19 + -9x)' equal to zero and attempt to solve:

Simplifying
-19 + -9x = 0

Solving
-19 + -9x = 0

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

Add '19' to each side of the equation.
-19 + 19 + -9x = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -9x = 0 + 19
-9x = 0 + 19

Combine like terms: 0 + 19 = 19
-9x = 19

Divide each side by '-9'.
x = -2.111111111

Simplifying
x = -2.111111111
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-2.111111111, 2}