5t^2+2t+8=0

Solution for 5t^2+2t+8=0 equation:

Simplifying
5t2 + 2t + 8 = 0

Reorder the terms:
8 + 2t + 5t2 = 0

Solving
8 + 2t + 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'.
1.6 + 0.4t + t2 = 0

Move the constant term to the right:

Add '-1.6' to each side of the equation.
1.6 + 0.4t + -1.6 + t2 = 0 + -1.6

Reorder the terms:
1.6 + -1.6 + 0.4t + t2 = 0 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + 0.4t + t2 = 0 + -1.6
0.4t + t2 = 0 + -1.6

Combine like terms: 0 + -1.6 = -1.6
0.4t + t2 = -1.6

The t term is 0.4t.  Take half its coefficient (0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
0.4t + 0.04 + t2 = -1.6 + 0.04

Reorder the terms:
0.04 + 0.4t + t2 = -1.6 + 0.04

Combine like terms: -1.6 + 0.04 = -1.56
0.04 + 0.4t + t2 = -1.56

Factor a perfect square on the left side:
(t + 0.2)(t + 0.2) = -1.56

Can't calculate square root of the right side.

The solution to this equation could not be determined.