0=16t^2+14t+6

Solution for 0=16t^2+14t+6 equation:

Simplifying
0 = 16t2 + 14t + 6

Reorder the terms:
0 = 6 + 14t + 16t2

Solving
0 = 6 + 14t + 16t2

Solving for variable 't'.

Combine like terms: 0 + -6 = -6
-6 + -14t + -16t2 = 6 + 14t + 16t2 + -6 + -14t + -16t2

Reorder the terms:
-6 + -14t + -16t2 = 6 + -6 + 14t + -14t + 16t2 + -16t2

Combine like terms: 6 + -6 = 0
-6 + -14t + -16t2 = 0 + 14t + -14t + 16t2 + -16t2
-6 + -14t + -16t2 = 14t + -14t + 16t2 + -16t2

Combine like terms: 14t + -14t = 0
-6 + -14t + -16t2 = 0 + 16t2 + -16t2
-6 + -14t + -16t2 = 16t2 + -16t2

Combine like terms: 16t2 + -16t2 = 0
-6 + -14t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(3 + 7t + 8t2) = 0

Ignore the factor -2.
Subproblem 1
Set the factor '(3 + 7t + 8t2)' equal to zero and attempt to solve:

Simplifying
3 + 7t + 8t2 = 0

Solving
3 + 7t + 8t2 = 0

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

Divide each side by '8'.
0.375 + 0.875t + t2 = 0

Move the constant term to the right:

Add '-0.375' to each side of the equation.
0.375 + 0.875t + -0.375 + t2 = 0 + -0.375

Reorder the terms:
0.375 + -0.375 + 0.875t + t2 = 0 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + 0.875t + t2 = 0 + -0.375
0.875t + t2 = 0 + -0.375

Combine like terms: 0 + -0.375 = -0.375
0.875t + t2 = -0.375

The t term is 0.875t.  Take half its coefficient (0.4375).
Square it (0.19140625) and add it to both sides.

Add '0.19140625' to each side of the equation.
0.875t + 0.19140625 + t2 = -0.375 + 0.19140625

Reorder the terms:
0.19140625 + 0.875t + t2 = -0.375 + 0.19140625

Combine like terms: -0.375 + 0.19140625 = -0.18359375
0.19140625 + 0.875t + t2 = -0.18359375

Factor a perfect square on the left side:
(t + 0.4375)(t + 0.4375) = -0.18359375

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.