132=-16t^2-96t+4

Solution for 132=-16t^2-96t+4 equation:

Simplifying
132 = -16t2 + -96t + 4

Reorder the terms:
132 = 4 + -96t + -16t2

Solving
132 = 4 + -96t + -16t2

Solving for variable 't'.

Combine like terms: 132 + -4 = 128
128 + 96t + 16t2 = 4 + -96t + -16t2 + -4 + 96t + 16t2

Reorder the terms:
128 + 96t + 16t2 = 4 + -4 + -96t + 96t + -16t2 + 16t2

Combine like terms: 4 + -4 = 0
128 + 96t + 16t2 = 0 + -96t + 96t + -16t2 + 16t2
128 + 96t + 16t2 = -96t + 96t + -16t2 + 16t2

Combine like terms: -96t + 96t = 0
128 + 96t + 16t2 = 0 + -16t2 + 16t2
128 + 96t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
128 + 96t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(8 + 6t + t2) = 0

Factor a trinomial.
16((4 + t)(2 + t)) = 0

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

Simplifying
4 + t = 0

Solving
4 + t = 0

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

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

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

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

Simplifying
t = -4
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 = {-4, -2}