(4x*4x)+11x=-6

Solution for (4x*4x)+11x=-6 equation:

Simplifying
(4x * 4x) + 11x = -6

Reorder the terms for easier multiplication:
(4 * 4x * x) + 11x = -6

Multiply 4 * 4
(16x * x) + 11x = -6

Multiply x * x
(16x2) + 11x = -6

Reorder the terms:
11x + (16x2) = -6

Solving
11x + (16x2) = -6

Solving for variable 'x'.

Reorder the terms:
6 + 11x + (16x2) = -6 + 6

Combine like terms: -6 + 6 = 0
6 + 11x + (16x2) = 0

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

Divide each side by '16'.
0.375 + 0.6875x + x2 = 0

Move the constant term to the right:

Add '-0.375' to each side of the equation.
0.375 + 0.6875x + -0.375 + x2 = 0 + -0.375

Reorder the terms:
0.375 + -0.375 + 0.6875x + x2 = 0 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + 0.6875x + x2 = 0 + -0.375
0.6875x + x2 = 0 + -0.375

Combine like terms: 0 + -0.375 = -0.375
0.6875x + x2 = -0.375

The x term is 0.6875x.  Take half its coefficient (0.34375).
Square it (0.1181640625) and add it to both sides.

Add '0.1181640625' to each side of the equation.
0.6875x + 0.1181640625 + x2 = -0.375 + 0.1181640625

Reorder the terms:
0.1181640625 + 0.6875x + x2 = -0.375 + 0.1181640625

Combine like terms: -0.375 + 0.1181640625 = -0.2568359375
0.1181640625 + 0.6875x + x2 = -0.2568359375

Factor a perfect square on the left side:
((x) + 0.34375)((x) + 0.34375) = -0.2568359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.