5t^2+3t+3.6=0

Solution for 5t^2+3t+3.6=0 equation:

Simplifying
5t2 + 3t + 3.6 = 0

Reorder the terms:
3.6 + 3t + 5t2 = 0

Solving
3.6 + 3t + 5t2 = 0

Solving for variable 't'.

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

Divide each side by '5'.
0.72 + 0.6t + t2 = 0

Move the constant term to the right:

Add '-0.72' to each side of the equation.
0.72 + 0.6t + -0.72 + t2 = 0 + -0.72

Reorder the terms:
0.72 + -0.72 + 0.6t + t2 = 0 + -0.72

Combine like terms: 0.72 + -0.72 = 0.00
0.00 + 0.6t + t2 = 0 + -0.72
0.6t + t2 = 0 + -0.72

Combine like terms: 0 + -0.72 = -0.72
0.6t + t2 = -0.72

The t term is 0.6t.  Take half its coefficient (0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
0.6t + 0.09 + t2 = -0.72 + 0.09

Reorder the terms:
0.09 + 0.6t + t2 = -0.72 + 0.09

Combine like terms: -0.72 + 0.09 = -0.63
0.09 + 0.6t + t2 = -0.63

Factor a perfect square on the left side:
(t + 0.3)(t + 0.3) = -0.63

Can't calculate square root of the right side.

The solution to this equation could not be determined.