(5t-1)(3t-2)=

Solution for (5t-1)(3t-2)= equation:

Simplifying
(5t + -1)(3t + -2) = 0

Reorder the terms:
(-1 + 5t)(3t + -2) = 0

Reorder the terms:
(-1 + 5t)(-2 + 3t) = 0

Multiply (-1 + 5t) * (-2 + 3t)
(-1(-2 + 3t) + 5t * (-2 + 3t)) = 0
((-2 * -1 + 3t * -1) + 5t * (-2 + 3t)) = 0
((2 + -3t) + 5t * (-2 + 3t)) = 0
(2 + -3t + (-2 * 5t + 3t * 5t)) = 0
(2 + -3t + (-10t + 15t2)) = 0

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

Solving
2 + -13t + 15t2 = 0

Solving for variable 't'.

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

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

Simplifying
1 + -5t = 0

Solving
1 + -5t = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5t = 0 + -1

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

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

Divide each side by '-5'.
t = 0.2

Simplifying
t = 0.2
Subproblem 2
Set the factor '(2 + -3t)' equal to zero and attempt to solve:

Simplifying
2 + -3t = 0

Solving
2 + -3t = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3t = 0 + -2

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

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

Divide each side by '-3'.
t = 0.6666666667

Simplifying
t = 0.6666666667
Solution
t = {0.2, 0.6666666667}