2s^2+4s+7=

Solution for 2s^2+4s+7= equation:

Simplifying
2s2 + 4s + 7 = 0

Reorder the terms:
7 + 4s + 2s2 = 0

Solving
7 + 4s + 2s2 = 0

Solving for variable 's'.

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

Divide each side by '2'.
3.5 + 2s + s2 = 0

Move the constant term to the right:

Add '-3.5' to each side of the equation.
3.5 + 2s + -3.5 + s2 = 0 + -3.5

Reorder the terms:
3.5 + -3.5 + 2s + s2 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + 2s + s2 = 0 + -3.5
2s + s2 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
2s + s2 = -3.5

The s term is 2s.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2s + 1 + s2 = -3.5 + 1

Reorder the terms:
1 + 2s + s2 = -3.5 + 1

Combine like terms: -3.5 + 1 = -2.5
1 + 2s + s2 = -2.5

Factor a perfect square on the left side:
(s + 1)(s + 1) = -2.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.