9x^2-14x-39=0

Solution for 9x^2-14x-39=0 equation:

Simplifying
9x2 + -14x + -39 = 0

Reorder the terms:
-39 + -14x + 9x2 = 0

Solving
-39 + -14x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-13 + -9x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-13 + -9x)' equal to zero and attempt to solve:

Simplifying
-13 + -9x = 0

Solving
-13 + -9x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -9x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -9x = 0 + 13
-9x = 0 + 13

Combine like terms: 0 + 13 = 13
-9x = 13

Divide each side by '-9'.
x = -1.444444444

Simplifying
x = -1.444444444
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-1.444444444, 3}