t^2-11tu+24u^2=0

Solution for t^2-11tu+24u^2=0 equation:

Simplifying
t2 + -11tu + 24u2 = 0

Reorder the terms:
-11tu + t2 + 24u2 = 0

Solving
-11tu + t2 + 24u2 = 0

Solving for variable 't'.

Factor a trinomial.
(t + -8u)(t + -3u) = 0

Subproblem 1
Set the factor '(t + -8u)' equal to zero and attempt to solve:

Simplifying
t + -8u = 0

Solving
t + -8u = 0

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

Add '8u' to each side of the equation.
t + -8u + 8u = 0 + 8u

Combine like terms: -8u + 8u = 0
t + 0 = 0 + 8u
t = 0 + 8u
Remove the zero:
t = 8u

Simplifying
t = 8u
Subproblem 2
Set the factor '(t + -3u)' equal to zero and attempt to solve:

Simplifying
t + -3u = 0

Solving
t + -3u = 0

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

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

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

Simplifying
t = 3u
Solution
t = {8u, 3u}