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

Solution for (6t+5)(2t-1)= equation:

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

Reorder the terms:
(5 + 6t)(2t + -1) = 0

Reorder the terms:
(5 + 6t)(-1 + 2t) = 0

Multiply (5 + 6t) * (-1 + 2t)
(5(-1 + 2t) + 6t * (-1 + 2t)) = 0
((-1 * 5 + 2t * 5) + 6t * (-1 + 2t)) = 0
((-5 + 10t) + 6t * (-1 + 2t)) = 0
(-5 + 10t + (-1 * 6t + 2t * 6t)) = 0
(-5 + 10t + (-6t + 12t2)) = 0

Combine like terms: 10t + -6t = 4t
(-5 + 4t + 12t2) = 0

Solving
-5 + 4t + 12t2 = 0

Solving for variable 't'.

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

Subproblem 1
Set the factor '(-5 + -6t)' equal to zero and attempt to solve:

Simplifying
-5 + -6t = 0

Solving
-5 + -6t = 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 + -6t = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -6t = 0 + 5
-6t = 0 + 5

Combine like terms: 0 + 5 = 5
-6t = 5

Divide each side by '-6'.
t = -0.8333333333

Simplifying
t = -0.8333333333
Subproblem 2
Set the factor '(1 + -2t)' equal to zero and attempt to solve:

Simplifying
1 + -2t = 0

Solving
1 + -2t = 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 + -2t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2t = 0 + -1
-2t = 0 + -1

Combine like terms: 0 + -1 = -1
-2t = -1

Divide each side by '-2'.
t = 0.5

Simplifying
t = 0.5
Solution
t = {-0.8333333333, 0.5}