2(2t-t)(3-t)=

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

Simplifying
2(2t + -1t)(3 + -1t) = 0

Combine like terms: 2t + -1t = 1t
2(1t)(3 + -1t) = 0

Remove parenthesis around (1t)
2 * 1t(3 + -1t) = 0

Multiply 2 * 1
2t(3 + -1t) = 0
(3 * 2t + -1t * 2t) = 0
(6t + -2t2) = 0

Solving
6t + -2t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2t'.
2t(3 + -1t) = 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 '(3 + -1t)' equal to zero and attempt to solve:

Simplifying
3 + -1t = 0

Solving
3 + -1t = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1t = 0 + -3
-1t = 0 + -3

Combine like terms: 0 + -3 = -3
-1t = -3

Divide each side by '-1'.
t = 3

Simplifying
t = 3
Solution
t = {0, 3}