t^2-2tz-24z^2=

Solution for t^2-2tz-24z^2= equation:

Simplifying
t2 + -2tz + -24z2 = 0

Reorder the terms:
-2tz + t2 + -24z2 = 0

Solving
-2tz + t2 + -24z2 = 0

Solving for variable 't'.

Factor a trinomial.
(t + -6z)(t + 4z) = 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 + 4z)' equal to zero and attempt to solve:

Simplifying
t + 4z = 0

Solving
t + 4z = 0

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

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

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

Simplifying
t = -4z
Solution
t = {6z, -4z}