67=-11x-4.9x^2

Solution for 67=-11x-4.9x^2 equation:

Simplifying
67 = -11x + -4.9x2

Solving
67 = -11x + -4.9x2

Solving for variable 'x'.

Reorder the terms:
67 + 11x + 4.9x2 = -11x + 11x + -4.9x2 + 4.9x2

Combine like terms: -11x + 11x = 0
67 + 11x + 4.9x2 = 0 + -4.9x2 + 4.9x2
67 + 11x + 4.9x2 = -4.9x2 + 4.9x2

Combine like terms: -4.9x2 + 4.9x2 = 0.0
67 + 11x + 4.9x2 = 0.0

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

Divide each side by '4.9'.
13.67346939 + 2.244897959x + x2 = 0

Move the constant term to the right:

Add '-13.67346939' to each side of the equation.
13.67346939 + 2.244897959x + -13.67346939 + x2 = 0 + -13.67346939

Reorder the terms:
13.67346939 + -13.67346939 + 2.244897959x + x2 = 0 + -13.67346939

Combine like terms: 13.67346939 + -13.67346939 = 0.00000000
0.00000000 + 2.244897959x + x2 = 0 + -13.67346939
2.244897959x + x2 = 0 + -13.67346939

Combine like terms: 0 + -13.67346939 = -13.67346939
2.244897959x + x2 = -13.67346939

The x term is 2.244897959x.  Take half its coefficient (1.12244898).
Square it (1.259891713) and add it to both sides.

Add '1.259891713' to each side of the equation.
2.244897959x + 1.259891713 + x2 = -13.67346939 + 1.259891713

Reorder the terms:
1.259891713 + 2.244897959x + x2 = -13.67346939 + 1.259891713

Combine like terms: -13.67346939 + 1.259891713 = -12.413577677
1.259891713 + 2.244897959x + x2 = -12.413577677

Factor a perfect square on the left side:
(x + 1.12244898)(x + 1.12244898) = -12.413577677

Can't calculate square root of the right side.

The solution to this equation could not be determined.