49s^2+11s=-64

Solution for 49s^2+11s=-64 equation:

Simplifying
49s2 + 11s = -64

Reorder the terms:
11s + 49s2 = -64

Solving
11s + 49s2 = -64

Solving for variable 's'.

Reorder the terms:
64 + 11s + 49s2 = -64 + 64

Combine like terms: -64 + 64 = 0
64 + 11s + 49s2 = 0

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

Divide each side by '49'.
1.306122449 + 0.2244897959s + s2 = 0

Move the constant term to the right:

Add '-1.306122449' to each side of the equation.
1.306122449 + 0.2244897959s + -1.306122449 + s2 = 0 + -1.306122449

Reorder the terms:
1.306122449 + -1.306122449 + 0.2244897959s + s2 = 0 + -1.306122449

Combine like terms: 1.306122449 + -1.306122449 = 0.000000000
0.000000000 + 0.2244897959s + s2 = 0 + -1.306122449
0.2244897959s + s2 = 0 + -1.306122449

Combine like terms: 0 + -1.306122449 = -1.306122449
0.2244897959s + s2 = -1.306122449

The s term is 0.2244897959s.  Take half its coefficient (0.112244898).
Square it (0.01259891713) and add it to both sides.

Add '0.01259891713' to each side of the equation.
0.2244897959s + 0.01259891713 + s2 = -1.306122449 + 0.01259891713

Reorder the terms:
0.01259891713 + 0.2244897959s + s2 = -1.306122449 + 0.01259891713

Combine like terms: -1.306122449 + 0.01259891713 = -1.29352353187
0.01259891713 + 0.2244897959s + s2 = -1.29352353187

Factor a perfect square on the left side:
(s + 0.112244898)(s + 0.112244898) = -1.29352353187

Can't calculate square root of the right side.

The solution to this equation could not be determined.