2t(3u-4t)=

Solution for 2t(3u-4t)= equation:

Simplifying
2t(3u + -4t) = 0

Reorder the terms:
2t(-4t + 3u) = 0
(-4t * 2t + 3u * 2t) = 0

Reorder the terms:
(6tu + -8t2) = 0
(6tu + -8t2) = 0

Solving
6tu + -8t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2t'.
2t(3u + -4t) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

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

Simplifying
t = 0
Subproblem 2
Set the factor '(3u + -4t)' equal to zero and attempt to solve:

Simplifying
3u + -4t = 0

Reorder the terms:
-4t + 3u = 0

Solving
-4t + 3u = 0

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

Add '-3u' to each side of the equation.
-4t + 3u + -3u = 0 + -3u

Combine like terms: 3u + -3u = 0
-4t + 0 = 0 + -3u
-4t = 0 + -3u
Remove the zero:
-4t = -3u

Divide each side by '-4'.
t = 0.75u

Simplifying
t = 0.75u
Solution
t = {0, 0.75u}