-16t^2+288t-1152=0

Solution for -16t^2+288t-1152=0 equation:

Simplifying
-16t2 + 288t + -1152 = 0

Reorder the terms:
-1152 + 288t + -16t2 = 0

Solving
-1152 + 288t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '16'.
16(-72 + 18t + -1t2) = 0

Factor a trinomial.
16((-12 + t)(6 + -1t)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(-12 + t)' equal to zero and attempt to solve:

Simplifying
-12 + t = 0

Solving
-12 + t = 0

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

Add '12' to each side of the equation.
-12 + 12 + t = 0 + 12

Combine like terms: -12 + 12 = 0
0 + t = 0 + 12
t = 0 + 12

Combine like terms: 0 + 12 = 12
t = 12

Simplifying
t = 12
Subproblem 2
Set the factor '(6 + -1t)' equal to zero and attempt to solve:

Simplifying
6 + -1t = 0

Solving
6 + -1t = 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 + -1t = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1t = 0 + -6
-1t = 0 + -6

Combine like terms: 0 + -6 = -6
-1t = -6

Divide each side by '-1'.
t = 6

Simplifying
t = 6
Solution
t = {12, 6}