3s^2-8s=2s-9

Solution for 3s^2-8s=2s-9 equation:

Simplifying
3s2 + -8s = 2s + -9

Reorder the terms:
-8s + 3s2 = 2s + -9

Reorder the terms:
-8s + 3s2 = -9 + 2s

Solving
-8s + 3s2 = -9 + 2s

Solving for variable 's'.

Reorder the terms:
9 + -8s + -2s + 3s2 = -9 + 2s + 9 + -2s

Combine like terms: -8s + -2s = -10s
9 + -10s + 3s2 = -9 + 2s + 9 + -2s

Reorder the terms:
9 + -10s + 3s2 = -9 + 9 + 2s + -2s

Combine like terms: -9 + 9 = 0
9 + -10s + 3s2 = 0 + 2s + -2s
9 + -10s + 3s2 = 2s + -2s

Combine like terms: 2s + -2s = 0
9 + -10s + 3s2 = 0

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

Divide each side by '3'.
3 + -3.333333333s + s2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -3.333333333s + -3 + s2 = 0 + -3

Reorder the terms:
3 + -3 + -3.333333333s + s2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -3.333333333s + s2 = 0 + -3
-3.333333333s + s2 = 0 + -3

Combine like terms: 0 + -3 = -3
-3.333333333s + s2 = -3

The s term is -3.333333333s.  Take half its coefficient (-1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
-3.333333333s + 2.777777779 + s2 = -3 + 2.777777779

Reorder the terms:
2.777777779 + -3.333333333s + s2 = -3 + 2.777777779

Combine like terms: -3 + 2.777777779 = -0.222222221
2.777777779 + -3.333333333s + s2 = -0.222222221

Factor a perfect square on the left side:
(s + -1.666666667)(s + -1.666666667) = -0.222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.