(9x^2+29x-38)=0

Solution for (9x^2+29x-38)=0 equation:

Simplifying
(9x2 + 29x + -38) = 0

Reorder the terms:
(-38 + 29x + 9x2) = 0

Remove parenthesis around (-38 + 29x + 9x2)
-38 + 29x + 9x2 = 0

Solving
-38 + 29x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-38 + -9x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-38 + -9x)' equal to zero and attempt to solve:

Simplifying
-38 + -9x = 0

Solving
-38 + -9x = 0

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

Add '38' to each side of the equation.
-38 + 38 + -9x = 0 + 38

Combine like terms: -38 + 38 = 0
0 + -9x = 0 + 38
-9x = 0 + 38

Combine like terms: 0 + 38 = 38
-9x = 38

Divide each side by '-9'.
x = -4.222222222

Simplifying
x = -4.222222222
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 = {-4.222222222, 1}