y^2+yt-12t^2=

Solution for y^2+yt-12t^2= equation:

Simplifying
y2 + yt + -12t2 = 0

Reorder the terms:
ty + -12t2 + y2 = 0

Solving
ty + -12t2 + y2 = 0

Solving for variable 't'.

Factor a trinomial.
(-4t + -1y)(3t + -1y) = 0

Subproblem 1
Set the factor '(-4t + -1y)' equal to zero and attempt to solve:

Simplifying
-4t + -1y = 0

Solving
-4t + -1y = 0

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

Add 'y' to each side of the equation.
-4t + -1y + y = 0 + y

Combine like terms: -1y + y = 0
-4t + 0 = 0 + y
-4t = 0 + y
Remove the zero:
-4t = y

Divide each side by '-4'.
t = -0.25y

Simplifying
t = -0.25y
Subproblem 2
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
Solution
t = {-0.25y, 0.3333333333y}