t^2-3tz-18z^2=

Solution for t^2-3tz-18z^2= equation:

Simplifying
t2 + -3tz + -18z2 = 0

Reorder the terms:
-3tz + t2 + -18z2 = 0

Solving
-3tz + t2 + -18z2 = 0

Solving for variable 't'.

Factor a trinomial.
(t + -6z)(t + 3z) = 0

Subproblem 1
Set the factor '(t + -6z)' equal to zero and attempt to solve:

Simplifying
t + -6z = 0

Solving
t + -6z = 0

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

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

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

Simplifying
t = 6z
Subproblem 2
Set the factor '(t + 3z)' equal to zero and attempt to solve:

Simplifying
t + 3z = 0

Solving
t + 3z = 0

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

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

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

Simplifying
t = -3z
Solution
t = {6z, -3z}