64s^2+36s=-81

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Solution for 64s^2+36s=-81 equation:


Simplifying
64s2 + 36s = -81

Reorder the terms:
36s + 64s2 = -81

Solving
36s + 64s2 = -81

Solving for variable 's'.

Reorder the terms:
81 + 36s + 64s2 = -81 + 81

Combine like terms: -81 + 81 = 0
81 + 36s + 64s2 = 0

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

Divide each side by '64'.
1.265625 + 0.5625s + s2 = 0

Move the constant term to the right:

Add '-1.265625' to each side of the equation.
1.265625 + 0.5625s + -1.265625 + s2 = 0 + -1.265625

Reorder the terms:
1.265625 + -1.265625 + 0.5625s + s2 = 0 + -1.265625

Combine like terms: 1.265625 + -1.265625 = 0.000000
0.000000 + 0.5625s + s2 = 0 + -1.265625
0.5625s + s2 = 0 + -1.265625

Combine like terms: 0 + -1.265625 = -1.265625
0.5625s + s2 = -1.265625

The s term is 0.5625s.  Take half its coefficient (0.28125).
Square it (0.0791015625) and add it to both sides.

Add '0.0791015625' to each side of the equation.
0.5625s + 0.0791015625 + s2 = -1.265625 + 0.0791015625

Reorder the terms:
0.0791015625 + 0.5625s + s2 = -1.265625 + 0.0791015625

Combine like terms: -1.265625 + 0.0791015625 = -1.1865234375
0.0791015625 + 0.5625s + s2 = -1.1865234375

Factor a perfect square on the left side:
(s + 0.28125)(s + 0.28125) = -1.1865234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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