t^2-7ty-18y^2=0

Solution for t^2-7ty-18y^2=0 equation:

Simplifying
t2 + -7ty + -18y2 = 0

Reorder the terms:
-7ty + t2 + -18y2 = 0

Solving
-7ty + t2 + -18y2 = 0

Solving for variable 't'.

Factor a trinomial.
(t + -9y)(t + 2y) = 0

Subproblem 1
Set the factor '(t + -9y)' equal to zero and attempt to solve:

Simplifying
t + -9y = 0

Solving
t + -9y = 0

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

Add '9y' to each side of the equation.
t + -9y + 9y = 0 + 9y

Combine like terms: -9y + 9y = 0
t + 0 = 0 + 9y
t = 0 + 9y
Remove the zero:
t = 9y

Simplifying
t = 9y
Subproblem 2
Set the factor '(t + 2y)' equal to zero and attempt to solve:

Simplifying
t + 2y = 0

Solving
t + 2y = 0

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

Add '-2y' to each side of the equation.
t + 2y + -2y = 0 + -2y

Combine like terms: 2y + -2y = 0
t + 0 = 0 + -2y
t = 0 + -2y
Remove the zero:
t = -2y

Simplifying
t = -2y
Solution
t = {9y, -2y}