-16t^2+12t+8=10

Solution for -16t^2+12t+8=10 equation:

Simplifying
-16t2 + 12t + 8 = 10

Reorder the terms:
8 + 12t + -16t2 = 10

Solving
8 + 12t + -16t2 = 10

Solving for variable 't'.

Reorder the terms:
8 + -10 + 12t + -16t2 = 10 + -10

Combine like terms: 8 + -10 = -2
-2 + 12t + -16t2 = 10 + -10

Combine like terms: 10 + -10 = 0
-2 + 12t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 6t + -8t2) = 0

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

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

Simplifying
1 + -4t = 0

Solving
1 + -4t = 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 + -4t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4t = 0 + -1
-4t = 0 + -1

Combine like terms: 0 + -1 = -1
-4t = -1

Divide each side by '-4'.
t = 0.25

Simplifying
t = 0.25
Solution
t = {0.5, 0.25}