-16t^2+32t=-20

Solution for -16t^2+32t=-20 equation:

Simplifying
-16t2 + 32t = -20

Reorder the terms:
32t + -16t2 = -20

Solving
32t + -16t2 = -20

Solving for variable 't'.

Reorder the terms:
20 + 32t + -16t2 = -20 + 20

Combine like terms: -20 + 20 = 0
20 + 32t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(5 + 8t + -4t2) = 0

Factor a trinomial.
4((5 + -2t)(1 + 2t)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(5 + -2t)' equal to zero and attempt to solve:

Simplifying
5 + -2t = 0

Solving
5 + -2t = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2t = 0 + -5
-2t = 0 + -5

Combine like terms: 0 + -5 = -5
-2t = -5

Divide each side by '-2'.
t = 2.5

Simplifying
t = 2.5
Subproblem 2
Set the factor '(1 + 2t)' equal to zero and attempt to solve:

Simplifying
1 + 2t = 0

Solving
1 + 2t = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2t = 0 + -1
2t = 0 + -1

Combine like terms: 0 + -1 = -1
2t = -1

Divide each side by '2'.
t = -0.5

Simplifying
t = -0.5
Solution
t = {2.5, -0.5}