5.5=16t^2+t+30

Solution for 5.5=16t^2+t+30 equation:

Simplifying
5.5 = 16t2 + t + 30

Reorder the terms:
5.5 = 30 + t + 16t2

Solving
5.5 = 30 + t + 16t2

Solving for variable 't'.

Combine like terms: 5.5 + -30 = -24.5
-24.5 + -1t + -16t2 = 30 + t + 16t2 + -30 + -1t + -16t2

Reorder the terms:
-24.5 + -1t + -16t2 = 30 + -30 + t + -1t + 16t2 + -16t2

Combine like terms: 30 + -30 = 0
-24.5 + -1t + -16t2 = 0 + t + -1t + 16t2 + -16t2
-24.5 + -1t + -16t2 = t + -1t + 16t2 + -16t2

Combine like terms: t + -1t = 0
-24.5 + -1t + -16t2 = 0 + 16t2 + -16t2
-24.5 + -1t + -16t2 = 16t2 + -16t2

Combine like terms: 16t2 + -16t2 = 0
-24.5 + -1t + -16t2 = 0

Begin completing the square.  Divide all terms by
-16 the coefficient of the squared term: 

Divide each side by '-16'.
1.53125 + 0.0625t + t2 = 0

Move the constant term to the right:

Add '-1.53125' to each side of the equation.
1.53125 + 0.0625t + -1.53125 + t2 = 0 + -1.53125

Reorder the terms:
1.53125 + -1.53125 + 0.0625t + t2 = 0 + -1.53125

Combine like terms: 1.53125 + -1.53125 = 0.00000
0.00000 + 0.0625t + t2 = 0 + -1.53125
0.0625t + t2 = 0 + -1.53125

Combine like terms: 0 + -1.53125 = -1.53125
0.0625t + t2 = -1.53125

The t term is 0.0625t.  Take half its coefficient (0.03125).
Square it (0.0009765625) and add it to both sides.

Add '0.0009765625' to each side of the equation.
0.0625t + 0.0009765625 + t2 = -1.53125 + 0.0009765625

Reorder the terms:
0.0009765625 + 0.0625t + t2 = -1.53125 + 0.0009765625

Combine like terms: -1.53125 + 0.0009765625 = -1.5302734375
0.0009765625 + 0.0625t + t2 = -1.5302734375

Factor a perfect square on the left side:
(t + 0.03125)(t + 0.03125) = -1.5302734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.