-16t^2+112t+1248=0

Solution for -16t^2+112t+1248=0 equation:

Simplifying
-16t2 + 112t + 1248 = 0

Reorder the terms:
1248 + 112t + -16t2 = 0

Solving
1248 + 112t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '16'.
16(78 + 7t + -1t2) = 0

Factor a trinomial.
16((13 + -1t)(6 + t)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(13 + -1t)' equal to zero and attempt to solve:

Simplifying
13 + -1t = 0

Solving
13 + -1t = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1t = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1t = 0 + -13
-1t = 0 + -13

Combine like terms: 0 + -13 = -13
-1t = -13

Divide each side by '-1'.
t = 13

Simplifying
t = 13
Subproblem 2
Set the factor '(6 + t)' equal to zero and attempt to solve:

Simplifying
6 + t = 0

Solving
6 + t = 0

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

Add '-6' to each side of the equation.
6 + -6 + t = 0 + -6

Combine like terms: 6 + -6 = 0
0 + t = 0 + -6
t = 0 + -6

Combine like terms: 0 + -6 = -6
t = -6

Simplifying
t = -6
Solution
t = {13, -6}