(2t-3)(t-5)=

Solution for (2t-3)(t-5)= equation:

Simplifying
(2t + -3)(t + -5) = 0

Reorder the terms:
(-3 + 2t)(t + -5) = 0

Reorder the terms:
(-3 + 2t)(-5 + t) = 0

Multiply (-3 + 2t) * (-5 + t)
(-3(-5 + t) + 2t * (-5 + t)) = 0
((-5 * -3 + t * -3) + 2t * (-5 + t)) = 0
((15 + -3t) + 2t * (-5 + t)) = 0
(15 + -3t + (-5 * 2t + t * 2t)) = 0
(15 + -3t + (-10t + 2t2)) = 0

Combine like terms: -3t + -10t = -13t
(15 + -13t + 2t2) = 0

Solving
15 + -13t + 2t2 = 0

Solving for variable 't'.

Factor a trinomial.
(3 + -2t)(5 + -1t) = 0

Subproblem 1
Set the factor '(3 + -2t)' equal to zero and attempt to solve:

Simplifying
3 + -2t = 0

Solving
3 + -2t = 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 + -2t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2t = 0 + -3
-2t = 0 + -3

Combine like terms: 0 + -3 = -3
-2t = -3

Divide each side by '-2'.
t = 1.5

Simplifying
t = 1.5
Subproblem 2
Set the factor '(5 + -1t)' equal to zero and attempt to solve:

Simplifying
5 + -1t = 0

Solving
5 + -1t = 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 + -1t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1t = 0 + -5
-1t = 0 + -5

Combine like terms: 0 + -5 = -5
-1t = -5

Divide each side by '-1'.
t = 5

Simplifying
t = 5
Solution
t = {1.5, 5}