2t^2+2t+3=0

Solution for 2t^2+2t+3=0 equation:

Simplifying
2t2 + 2t + 3 = 0

Reorder the terms:
3 + 2t + 2t2 = 0

Solving
3 + 2t + 2t2 = 0

Solving for variable 't'.

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

Divide each side by '2'.
1.5 + t + t2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + t + -1.5 + t2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + t + t2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + t + t2 = 0 + -1.5
t + t2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
t + t2 = -1.5

The t term is t.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + t2 = -1.5 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + t2 = -1.5 + 0.25

Combine like terms: -1.5 + 0.25 = -1.25
1.25 + t2 = -1.25

Factor a perfect square on the left side:
(t + 0.5)(t + 0.5) = -1.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.