3x^2-14x-192=0

Solution for 3x^2-14x-192=0 equation:

Simplifying
3x2 + -14x + -192 = 0

Reorder the terms:
-192 + -14x + 3x2 = 0

Solving
-192 + -14x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-6 + -1x)(32 + -3x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(32 + -3x)' equal to zero and attempt to solve:

Simplifying
32 + -3x = 0

Solving
32 + -3x = 0

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

Add '-32' to each side of the equation.
32 + -32 + -3x = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -3x = 0 + -32
-3x = 0 + -32

Combine like terms: 0 + -32 = -32
-3x = -32

Divide each side by '-3'.
x = 10.66666667

Simplifying
x = 10.66666667
Solution
x = {-6, 10.66666667}