9x^2-11x-48=0

Solution for 9x^2-11x-48=0 equation:

Simplifying
9x2 + -11x + -48 = 0

Reorder the terms:
-48 + -11x + 9x2 = 0

Solving
-48 + -11x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-16 + -9x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-16 + -9x)' equal to zero and attempt to solve:

Simplifying
-16 + -9x = 0

Solving
-16 + -9x = 0

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

Add '16' to each side of the equation.
-16 + 16 + -9x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -9x = 0 + 16
-9x = 0 + 16

Combine like terms: 0 + 16 = 16
-9x = 16

Divide each side by '-9'.
x = -1.777777778

Simplifying
x = -1.777777778
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 = {-1.777777778, 3}