(6-t)(5-2t)=0

Solution for (6-t)(5-2t)=0 equation:

Simplifying
(6 + -1t)(5 + -2t) = 0

Multiply (6 + -1t) * (5 + -2t)
(6(5 + -2t) + -1t * (5 + -2t)) = 0
((5 * 6 + -2t * 6) + -1t * (5 + -2t)) = 0
((30 + -12t) + -1t * (5 + -2t)) = 0
(30 + -12t + (5 * -1t + -2t * -1t)) = 0
(30 + -12t + (-5t + 2t2)) = 0

Combine like terms: -12t + -5t = -17t
(30 + -17t + 2t2) = 0

Solving
30 + -17t + 2t2 = 0

Solving for variable 't'.

Factor a trinomial.
(5 + -2t)(6 + -1t) = 0

Subproblem 1
Set the factor '(5 + -2t)' equal to zero and attempt to solve:

Simplifying
5 + -2t = 0

Solving
5 + -2t = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2t = 0 + -5
-2t = 0 + -5

Combine like terms: 0 + -5 = -5
-2t = -5

Divide each side by '-2'.
t = 2.5

Simplifying
t = 2.5
Subproblem 2
Set the factor '(6 + -1t)' equal to zero and attempt to solve:

Simplifying
6 + -1t = 0

Solving
6 + -1t = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1t = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1t = 0 + -6
-1t = 0 + -6

Combine like terms: 0 + -6 = -6
-1t = -6

Divide each side by '-1'.
t = 6

Simplifying
t = 6
Solution
t = {2.5, 6}