8s^2-9s+54=0

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Solution for 8s^2-9s+54=0 equation:


Simplifying
8s2 + -9s + 54 = 0

Reorder the terms:
54 + -9s + 8s2 = 0

Solving
54 + -9s + 8s2 = 0

Solving for variable 's'.

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

Divide each side by '8'.
6.75 + -1.125s + s2 = 0

Move the constant term to the right:

Add '-6.75' to each side of the equation.
6.75 + -1.125s + -6.75 + s2 = 0 + -6.75

Reorder the terms:
6.75 + -6.75 + -1.125s + s2 = 0 + -6.75

Combine like terms: 6.75 + -6.75 = 0.00
0.00 + -1.125s + s2 = 0 + -6.75
-1.125s + s2 = 0 + -6.75

Combine like terms: 0 + -6.75 = -6.75
-1.125s + s2 = -6.75

The s term is -1.125s.  Take half its coefficient (-0.5625).
Square it (0.31640625) and add it to both sides.

Add '0.31640625' to each side of the equation.
-1.125s + 0.31640625 + s2 = -6.75 + 0.31640625

Reorder the terms:
0.31640625 + -1.125s + s2 = -6.75 + 0.31640625

Combine like terms: -6.75 + 0.31640625 = -6.43359375
0.31640625 + -1.125s + s2 = -6.43359375

Factor a perfect square on the left side:
(s + -0.5625)(s + -0.5625) = -6.43359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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