t^2-tg-30g^2=

Solution for t^2-tg-30g^2= equation:

Simplifying
t2 + -1tg + -30g2 = 0

Reorder the terms:
-1gt + -30g2 + t2 = 0

Solving
-1gt + -30g2 + t2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-5g + -1t)(6g + -1t) = 0

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

Simplifying
-5g + -1t = 0

Solving
-5g + -1t = 0

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

Add 't' to each side of the equation.
-5g + -1t + t = 0 + t

Combine like terms: -1t + t = 0
-5g + 0 = 0 + t
-5g = 0 + t
Remove the zero:
-5g = t

Divide each side by '-5'.
g = -0.2t

Simplifying
g = -0.2t
Subproblem 2
Set the factor '(6g + -1t)' equal to zero and attempt to solve:

Simplifying
6g + -1t = 0

Solving
6g + -1t = 0

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

Add 't' to each side of the equation.
6g + -1t + t = 0 + t

Combine like terms: -1t + t = 0
6g + 0 = 0 + t
6g = 0 + t
Remove the zero:
6g = t

Divide each side by '6'.
g = 0.1666666667t

Simplifying
g = 0.1666666667t
Solution
g = {-0.2t, 0.1666666667t}