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.
(-3 + -1x)(16 + -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 '(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
Solution
x = {-3, 1.777777778}