-16t^2+32t+768=528

Solution for -16t^2+32t+768=528 equation:

Simplifying
-16t2 + 32t + 768 = 528

Reorder the terms:
768 + 32t + -16t2 = 528

Solving
768 + 32t + -16t2 = 528

Solving for variable 't'.

Reorder the terms:
768 + -528 + 32t + -16t2 = 528 + -528

Combine like terms: 768 + -528 = 240
240 + 32t + -16t2 = 528 + -528

Combine like terms: 528 + -528 = 0
240 + 32t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(15 + 2t + -1t2) = 0

Factor a trinomial.
16((5 + -1t)(3 + t)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(5 + -1t)' equal to zero and attempt to solve:

Simplifying
5 + -1t = 0

Solving
5 + -1t = 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 + -1t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1t = 0 + -5
-1t = 0 + -5

Combine like terms: 0 + -5 = -5
-1t = -5

Divide each side by '-1'.
t = 5

Simplifying
t = 5
Subproblem 2
Set the factor '(3 + t)' equal to zero and attempt to solve:

Simplifying
3 + t = 0

Solving
3 + t = 0

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

Add '-3' to each side of the equation.
3 + -3 + t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + t = 0 + -3
t = 0 + -3

Combine like terms: 0 + -3 = -3
t = -3

Simplifying
t = -3
Solution
t = {5, -3}