10=-16x^2+11x+6

Solution for 10=-16x^2+11x+6 equation:

Simplifying
10 = -16x2 + 11x + 6

Reorder the terms:
10 = 6 + 11x + -16x2

Solving
10 = 6 + 11x + -16x2

Solving for variable 'x'.

Combine like terms: 10 + -6 = 4
4 + -11x + 16x2 = 6 + 11x + -16x2 + -6 + -11x + 16x2

Reorder the terms:
4 + -11x + 16x2 = 6 + -6 + 11x + -11x + -16x2 + 16x2

Combine like terms: 6 + -6 = 0
4 + -11x + 16x2 = 0 + 11x + -11x + -16x2 + 16x2
4 + -11x + 16x2 = 11x + -11x + -16x2 + 16x2

Combine like terms: 11x + -11x = 0
4 + -11x + 16x2 = 0 + -16x2 + 16x2
4 + -11x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
4 + -11x + 16x2 = 0

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

Divide each side by '16'.
0.25 + -0.6875x + x2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + -0.6875x + -0.25 + x2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + -0.6875x + x2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -0.6875x + x2 = 0 + -0.25
-0.6875x + x2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
-0.6875x + x2 = -0.25

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 = -0.25 + 0.1181640625

Reorder the terms:
0.1181640625 + -0.6875x + x2 = -0.25 + 0.1181640625

Combine like terms: -0.25 + 0.1181640625 = -0.1318359375
0.1181640625 + -0.6875x + x2 = -0.1318359375

Factor a perfect square on the left side:
(x + -0.34375)(x + -0.34375) = -0.1318359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.