9x^2+4x-13=0

Solution for 9x^2+4x-13=0 equation:

Simplifying
9x2 + 4x + -13 = 0

Reorder the terms:
-13 + 4x + 9x2 = 0

Solving
-13 + 4x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-13 + -9x)(1 + -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 '(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 = {-1.444444444, 1}