5x^2-14x-96=0

Solution for 5x^2-14x-96=0 equation:

Simplifying
5x2 + -14x + -96 = 0

Reorder the terms:
-96 + -14x + 5x2 = 0

Solving
-96 + -14x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-16 + -5x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-16 + -5x)' equal to zero and attempt to solve:

Simplifying
-16 + -5x = 0

Solving
-16 + -5x = 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 + -5x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -5x = 0 + 16
-5x = 0 + 16

Combine like terms: 0 + 16 = 16
-5x = 16

Divide each side by '-5'.
x = -3.2

Simplifying
x = -3.2
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-3.2, 6}