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

Subproblem 1
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
Subproblem 2
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
Solution
x = {3, -1.444444444}