64t=-16t^2-64

Solution for 64t=-16t^2-64 equation:

Simplifying
64t = -16t2 + -64

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

Solving
64t = -64 + -16t2

Solving for variable 't'.

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

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

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

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

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

Factor a trinomial.
16((2 + t)(2 + t)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(2 + t)' equal to zero and attempt to solve:

Simplifying
2 + t = 0

Solving
2 + t = 0

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

Add '-2' to each side of the equation.
2 + -2 + t = 0 + -2

Combine like terms: 2 + -2 = 0
0 + t = 0 + -2
t = 0 + -2

Combine like terms: 0 + -2 = -2
t = -2

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

Simplifying
2 + t = 0

Solving
2 + t = 0

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

Add '-2' to each side of the equation.
2 + -2 + t = 0 + -2

Combine like terms: 2 + -2 = 0
0 + t = 0 + -2
t = 0 + -2

Combine like terms: 0 + -2 = -2
t = -2

Simplifying
t = -2
Solution
t = {-2, -2}