3x^2+32x+192=0

Solution for 3x^2+32x+192=0 equation:

Simplifying
3x2 + 32x + 192 = 0

Reorder the terms:
192 + 32x + 3x2 = 0

Solving
192 + 32x + 3x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
64 + 10.66666667x + x2 = 0

Move the constant term to the right:

Add '-64' to each side of the equation.
64 + 10.66666667x + -64 + x2 = 0 + -64

Reorder the terms:
64 + -64 + 10.66666667x + x2 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + 10.66666667x + x2 = 0 + -64
10.66666667x + x2 = 0 + -64

Combine like terms: 0 + -64 = -64
10.66666667x + x2 = -64

The x term is 10.66666667x.  Take half its coefficient (5.333333335).
Square it (28.44444446) and add it to both sides.

Add '28.44444446' to each side of the equation.
10.66666667x + 28.44444446 + x2 = -64 + 28.44444446

Reorder the terms:
28.44444446 + 10.66666667x + x2 = -64 + 28.44444446

Combine like terms: -64 + 28.44444446 = -35.55555554
28.44444446 + 10.66666667x + x2 = -35.55555554

Factor a perfect square on the left side:
(x + 5.333333335)(x + 5.333333335) = -35.55555554

Can't calculate square root of the right side.

The solution to this equation could not be determined.