-16t^2+96t=-256

Solution for -16t^2+96t=-256 equation:

Simplifying
-16t2 + 96t = -256

Reorder the terms:
96t + -16t2 = -256

Solving
96t + -16t2 = -256

Solving for variable 't'.

Reorder the terms:
256 + 96t + -16t2 = -256 + 256

Combine like terms: -256 + 256 = 0
256 + 96t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(16 + 6t + -1t2) = 0

Factor a trinomial.
16((8 + -1t)(2 + t)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(8 + -1t)' equal to zero and attempt to solve:

Simplifying
8 + -1t = 0

Solving
8 + -1t = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1t = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1t = 0 + -8
-1t = 0 + -8

Combine like terms: 0 + -8 = -8
-1t = -8

Divide each side by '-1'.
t = 8

Simplifying
t = 8
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 = {8, -2}