-4s^2-6=5s

Solution for -4s^2-6=5s equation:

Simplifying
-4s2 + -6 = 5s

Reorder the terms:
-6 + -4s2 = 5s

Solving
-6 + -4s2 = 5s

Solving for variable 's'.

Reorder the terms:
-6 + -5s + -4s2 = 5s + -5s

Combine like terms: 5s + -5s = 0
-6 + -5s + -4s2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(6 + 5s + 4s2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(6 + 5s + 4s2)' equal to zero and attempt to solve:

Simplifying
6 + 5s + 4s2 = 0

Solving
6 + 5s + 4s2 = 0

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

Divide each side by '4'.
1.5 + 1.25s + s2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + 1.25s + -1.5 + s2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + 1.25s + s2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 1.25s + s2 = 0 + -1.5
1.25s + s2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
1.25s + s2 = -1.5

The s term is 1.25s.  Take half its coefficient (0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
1.25s + 0.390625 + s2 = -1.5 + 0.390625

Reorder the terms:
0.390625 + 1.25s + s2 = -1.5 + 0.390625

Combine like terms: -1.5 + 0.390625 = -1.109375
0.390625 + 1.25s + s2 = -1.109375

Factor a perfect square on the left side:
(s + 0.625)(s + 0.625) = -1.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.