-16t^2-56t+40=8

Solution for -16t^2-56t+40=8 equation:

Simplifying
-16t2 + -56t + 40 = 8

Reorder the terms:
40 + -56t + -16t2 = 8

Solving
40 + -56t + -16t2 = 8

Solving for variable 't'.

Reorder the terms:
40 + -8 + -56t + -16t2 = 8 + -8

Combine like terms: 40 + -8 = 32
32 + -56t + -16t2 = 8 + -8

Combine like terms: 8 + -8 = 0
32 + -56t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(4 + -7t + -2t2) = 0

Factor a trinomial.
8((1 + -2t)(4 + t)) = 0

Ignore the factor 8.
Subproblem 1
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
Subproblem 2
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
Solution
t = {0.5, -4}