-2y^2-16yt+66t^2=

Solution for -2y^2-16yt+66t^2= equation:

Simplifying
-2y2 + -16yt + 66t2 = 0

Reorder the terms:
-16ty + 66t2 + -2y2 = 0

Solving
-16ty + 66t2 + -2y2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-8ty + 33t2 + -1y2) = 0

Factor a trinomial.
2((3t + -1y)(11t + y)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3t + -1y)' equal to zero and attempt to solve:

Simplifying
3t + -1y = 0

Solving
3t + -1y = 0

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

Add 'y' to each side of the equation.
3t + -1y + y = 0 + y

Combine like terms: -1y + y = 0
3t + 0 = 0 + y
3t = 0 + y
Remove the zero:
3t = y

Divide each side by '3'.
t = 0.3333333333y

Simplifying
t = 0.3333333333y
Subproblem 2
Set the factor '(11t + y)' equal to zero and attempt to solve:

Simplifying
11t + y = 0

Solving
11t + y = 0

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

Add '-1y' to each side of the equation.
11t + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
11t + 0 = 0 + -1y
11t = 0 + -1y
Remove the zero:
11t = -1y

Divide each side by '11'.
t = -0.09090909091y

Simplifying
t = -0.09090909091y
Solution
t = {0.3333333333y, -0.09090909091y}