0=5t^2+16t+16

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

Simplifying
0 = 5t2 + 16t + 16

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

Solving
0 = 16 + 16t + 5t2

Solving for variable 't'.

Combine like terms: 0 + -16 = -16
-16 + -16t + -5t2 = 16 + 16t + 5t2 + -16 + -16t + -5t2

Reorder the terms:
-16 + -16t + -5t2 = 16 + -16 + 16t + -16t + 5t2 + -5t2

Combine like terms: 16 + -16 = 0
-16 + -16t + -5t2 = 0 + 16t + -16t + 5t2 + -5t2
-16 + -16t + -5t2 = 16t + -16t + 5t2 + -5t2

Combine like terms: 16t + -16t = 0
-16 + -16t + -5t2 = 0 + 5t2 + -5t2
-16 + -16t + -5t2 = 5t2 + -5t2

Combine like terms: 5t2 + -5t2 = 0
-16 + -16t + -5t2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(16 + 16t + 5t2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(16 + 16t + 5t2)' equal to zero and attempt to solve:

Simplifying
16 + 16t + 5t2 = 0

Solving
16 + 16t + 5t2 = 0

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

Divide each side by '5'.
3.2 + 3.2t + t2 = 0

Move the constant term to the right:

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

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

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

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

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 = -3.2 + 2.56

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

Combine like terms: -3.2 + 2.56 = -0.64
2.56 + 3.2t + t2 = -0.64

Factor a perfect square on the left side:
(t + 1.6)(t + 1.6) = -0.64

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.