2s^2=5s-12

Solution for 2s^2=5s-12 equation:

Simplifying
2s2 = 5s + -12

Reorder the terms:
2s2 = -12 + 5s

Solving
2s2 = -12 + 5s

Solving for variable 's'.

Reorder the terms:
12 + -5s + 2s2 = -12 + 5s + 12 + -5s

Reorder the terms:
12 + -5s + 2s2 = -12 + 12 + 5s + -5s

Combine like terms: -12 + 12 = 0
12 + -5s + 2s2 = 0 + 5s + -5s
12 + -5s + 2s2 = 5s + -5s

Combine like terms: 5s + -5s = 0
12 + -5s + 2s2 = 0

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

Divide each side by '2'.
6 + -2.5s + s2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -2.5s + -6 + s2 = 0 + -6

Reorder the terms:
6 + -6 + -2.5s + s2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -2.5s + s2 = 0 + -6
-2.5s + s2 = 0 + -6

Combine like terms: 0 + -6 = -6
-2.5s + s2 = -6

The s term is -2.5s.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5s + 1.5625 + s2 = -6 + 1.5625

Reorder the terms:
1.5625 + -2.5s + s2 = -6 + 1.5625

Combine like terms: -6 + 1.5625 = -4.4375
1.5625 + -2.5s + s2 = -4.4375

Factor a perfect square on the left side:
(s + -1.25)(s + -1.25) = -4.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.