16t^2+48t+64=0

Solution for 16t^2+48t+64=0 equation:

Simplifying
16t2 + 48t + 64 = 0

Reorder the terms:
64 + 48t + 16t2 = 0

Solving
64 + 48t + 16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '16'.
16(4 + 3t + t2) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(4 + 3t + t2)' equal to zero and attempt to solve:

Simplifying
4 + 3t + t2 = 0

Solving
4 + 3t + t2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + 3t + -4 + t2 = 0 + -4

Reorder the terms:
4 + -4 + 3t + t2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3t + t2 = 0 + -4
3t + t2 = 0 + -4

Combine like terms: 0 + -4 = -4
3t + t2 = -4

The t term is 3t.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3t + 2.25 + t2 = -4 + 2.25

Reorder the terms:
2.25 + 3t + t2 = -4 + 2.25

Combine like terms: -4 + 2.25 = -1.75
2.25 + 3t + t2 = -1.75

Factor a perfect square on the left side:
(t + 1.5)(t + 1.5) = -1.75

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.