Y^2+YT-12T^2=0

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Solution for Y^2+YT-12T^2=0 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}

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