9x^2-4x-93=0

Solution for 9x^2-4x-93=0 equation:

Simplifying
9x2 + -4x + -93 = 0

Reorder the terms:
-93 + -4x + 9x2 = 0

Solving
-93 + -4x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -1x)(31 + -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 '(31 + -9x)' equal to zero and attempt to solve:

Simplifying
31 + -9x = 0

Solving
31 + -9x = 0

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

Add '-31' to each side of the equation.
31 + -31 + -9x = 0 + -31

Combine like terms: 31 + -31 = 0
0 + -9x = 0 + -31
-9x = 0 + -31

Combine like terms: 0 + -31 = -31
-9x = -31

Divide each side by '-9'.
x = 3.444444444

Simplifying
x = 3.444444444
Solution
x = {-3, 3.444444444}