5x^2+32x+68=0

Solution for 5x^2+32x+68=0 equation:

Simplifying
5x2 + 32x + 68 = 0

Reorder the terms:
68 + 32x + 5x2 = 0

Solving
68 + 32x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
13.6 + 6.4x + x2 = 0

Move the constant term to the right:

Add '-13.6' to each side of the equation.
13.6 + 6.4x + -13.6 + x2 = 0 + -13.6

Reorder the terms:
13.6 + -13.6 + 6.4x + x2 = 0 + -13.6

Combine like terms: 13.6 + -13.6 = 0.0
0.0 + 6.4x + x2 = 0 + -13.6
6.4x + x2 = 0 + -13.6

Combine like terms: 0 + -13.6 = -13.6
6.4x + x2 = -13.6

The x term is 6.4x.  Take half its coefficient (3.2).
Square it (10.24) and add it to both sides.

Add '10.24' to each side of the equation.
6.4x + 10.24 + x2 = -13.6 + 10.24

Reorder the terms:
10.24 + 6.4x + x2 = -13.6 + 10.24

Combine like terms: -13.6 + 10.24 = -3.36
10.24 + 6.4x + x2 = -3.36

Factor a perfect square on the left side:
(x + 3.2)(x + 3.2) = -3.36

Can't calculate square root of the right side.

The solution to this equation could not be determined.