.25t^2+t+3=0

Solution for .25t^2+t+3=0 equation:

Simplifying
0.25t2 + t + 3 = 0

Reorder the terms:
3 + t + 0.25t2 = 0

Solving
3 + t + 0.25t2 = 0

Solving for variable 't'.

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

Divide each side by '0.25'.
12 + 4t + t2 = 0

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + 4t + -12 + t2 = 0 + -12

Reorder the terms:
12 + -12 + 4t + t2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 4t + t2 = 0 + -12
4t + t2 = 0 + -12

Combine like terms: 0 + -12 = -12
4t + t2 = -12

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.
4t + 0.25 + t2 = -12 + 0.25

Reorder the terms:
0.25 + 4t + t2 = -12 + 0.25

Combine like terms: -12 + 0.25 = -11.75
0.25 + 4t + t2 = -11.75

Factor a perfect square on the left side:
(t + 0.5)(t + 0.5) = -11.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.