5t^2+16t+32=0

Solution for 5t^2+16t+32=0 equation:

Simplifying
5t2 + 16t + 32 = 0

Reorder the terms:
32 + 16t + 5t2 = 0

Solving
32 + 16t + 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'.
6.4 + 3.2t + t2 = 0

Move the constant term to the right:

Add '-6.4' to each side of the equation.
6.4 + 3.2t + -6.4 + t2 = 0 + -6.4

Reorder the terms:
6.4 + -6.4 + 3.2t + t2 = 0 + -6.4

Combine like terms: 6.4 + -6.4 = 0.0
0.0 + 3.2t + t2 = 0 + -6.4
3.2t + t2 = 0 + -6.4

Combine like terms: 0 + -6.4 = -6.4
3.2t + t2 = -6.4

The t term is 3.2t.  Take half its coefficient (1.6).
Square it (2.56) and add it to both sides.

Add '2.56' to each side of the equation.
3.2t + 2.56 + t2 = -6.4 + 2.56

Reorder the terms:
2.56 + 3.2t + t2 = -6.4 + 2.56

Combine like terms: -6.4 + 2.56 = -3.84
2.56 + 3.2t + t2 = -3.84

Factor a perfect square on the left side:
(t + 1.6)(t + 1.6) = -3.84

Can't calculate square root of the right side.

The solution to this equation could not be determined.