16(6+-1t)(3+t)=

Solution for 16(6+-1t)(3+t)= equation:

Simplifying
16(6 + -1t)(3 + t) = 0

Multiply (6 + -1t) * (3 + t)
16(6(3 + t) + -1t * (3 + t)) = 0
16((3 * 6 + t * 6) + -1t * (3 + t)) = 0
16((18 + 6t) + -1t * (3 + t)) = 0
16(18 + 6t + (3 * -1t + t * -1t)) = 0
16(18 + 6t + (-3t + -1t2)) = 0

Combine like terms: 6t + -3t = 3t
16(18 + 3t + -1t2) = 0
(18 * 16 + 3t * 16 + -1t2 * 16) = 0
(288 + 48t + -16t2) = 0

Solving
288 + 48t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '16'.
16(18 + 3t + -1t2) = 0

Factor a trinomial.
16((6 + -1t)(3 + t)) = 0

Ignore the factor 16.
Subproblem 1
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
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 = {6, -3}