2s^2+7=-5s+3

Solution for 2s^2+7=-5s+3 equation:

Simplifying
2s2 + 7 = -5s + 3

Reorder the terms:
7 + 2s2 = -5s + 3

Reorder the terms:
7 + 2s2 = 3 + -5s

Solving
7 + 2s2 = 3 + -5s

Solving for variable 's'.

Reorder the terms:
7 + -3 + 5s + 2s2 = 3 + -5s + -3 + 5s

Combine like terms: 7 + -3 = 4
4 + 5s + 2s2 = 3 + -5s + -3 + 5s

Reorder the terms:
4 + 5s + 2s2 = 3 + -3 + -5s + 5s

Combine like terms: 3 + -3 = 0
4 + 5s + 2s2 = 0 + -5s + 5s
4 + 5s + 2s2 = -5s + 5s

Combine like terms: -5s + 5s = 0
4 + 5s + 2s2 = 0

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

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

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 2.5s + -2 + s2 = 0 + -2

Reorder the terms:
2 + -2 + 2.5s + s2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 2.5s + s2 = 0 + -2
2.5s + s2 = 0 + -2

Combine like terms: 0 + -2 = -2
2.5s + s2 = -2

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 = -2 + 1.5625

Reorder the terms:
1.5625 + 2.5s + s2 = -2 + 1.5625

Combine like terms: -2 + 1.5625 = -0.4375
1.5625 + 2.5s + s2 = -0.4375

Factor a perfect square on the left side:
(s + 1.25)(s + 1.25) = -0.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.