64=16t^2+48t+64

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

Simplifying
64 = 16t2 + 48t + 64

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

Add '-64' to each side of the equation.
64 + -64 = 64 + 48t + -64 + 16t2

Combine like terms: 64 + -64 = 0
0 = 64 + 48t + -64 + 16t2

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

Combine like terms: 64 + -64 = 0
0 = 0 + 48t + 16t2
0 = 48t + 16t2

Solving
0 = 48t + 16t2

Solving for variable 't'.
Remove the zero:
-48t + -16t2 = 48t + 16t2 + -48t + -16t2

Reorder the terms:
-48t + -16t2 = 48t + -48t + 16t2 + -16t2

Combine like terms: 48t + -48t = 0
-48t + -16t2 = 0 + 16t2 + -16t2
-48t + -16t2 = 16t2 + -16t2

Combine like terms: 16t2 + -16t2 = 0
-48t + -16t2 = 0

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

Ignore the factor -16.
Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

Move all terms containing t to the left, all other terms to the right.

Simplifying
t = 0
Subproblem 2
Set the factor '(3 + t)' equal to zero and attempt to solve:

Simplifying
3 + t = 0

Solving
3 + t = 0

Move all terms containing t to the left, all other terms to the right.

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

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

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

Simplifying
t = -3
Solution
t = {0, -3}