14x^2+17x+6=0

Solution for 14x^2+17x+6=0 equation:

Simplifying
14x2 + 17x + 6 = 0

Reorder the terms:
6 + 17x + 14x2 = 0

Solving
6 + 17x + 14x2 = 0

Solving for variable 'x'.

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

Divide each side by '14'.
0.4285714286 + 1.214285714x + x2 = 0

Move the constant term to the right:

Add '-0.4285714286' to each side of the equation.
0.4285714286 + 1.214285714x + -0.4285714286 + x2 = 0 + -0.4285714286

Reorder the terms:
0.4285714286 + -0.4285714286 + 1.214285714x + x2 = 0 + -0.4285714286

Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000
0.0000000000 + 1.214285714x + x2 = 0 + -0.4285714286
1.214285714x + x2 = 0 + -0.4285714286

Combine like terms: 0 + -0.4285714286 = -0.4285714286
1.214285714x + x2 = -0.4285714286

The x term is 1.214285714x.  Take half its coefficient (0.607142857).
Square it (0.3686224488) and add it to both sides.

Add '0.3686224488' to each side of the equation.
1.214285714x + 0.3686224488 + x2 = -0.4285714286 + 0.3686224488

Reorder the terms:
0.3686224488 + 1.214285714x + x2 = -0.4285714286 + 0.3686224488

Combine like terms: -0.4285714286 + 0.3686224488 = -0.0599489798
0.3686224488 + 1.214285714x + x2 = -0.0599489798

Factor a perfect square on the left side:
(x + 0.607142857)(x + 0.607142857) = -0.0599489798

Can't calculate square root of the right side.

The solution to this equation could not be determined.