(4t+1)(6t-5)=

Solution for (4t+1)(6t-5)= equation:

Simplifying
(4t + 1)(6t + -5) = 0

Reorder the terms:
(1 + 4t)(6t + -5) = 0

Reorder the terms:
(1 + 4t)(-5 + 6t) = 0

Multiply (1 + 4t) * (-5 + 6t)
(1(-5 + 6t) + 4t * (-5 + 6t)) = 0
((-5 * 1 + 6t * 1) + 4t * (-5 + 6t)) = 0
((-5 + 6t) + 4t * (-5 + 6t)) = 0
(-5 + 6t + (-5 * 4t + 6t * 4t)) = 0
(-5 + 6t + (-20t + 24t2)) = 0

Combine like terms: 6t + -20t = -14t
(-5 + -14t + 24t2) = 0

Solving
-5 + -14t + 24t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-1 + -4t)(5 + -6t) = 0

Subproblem 1
Set the factor '(-1 + -4t)' equal to zero and attempt to solve:

Simplifying
-1 + -4t = 0

Solving
-1 + -4t = 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 + -4t = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4t = 0 + 1
-4t = 0 + 1

Combine like terms: 0 + 1 = 1
-4t = 1

Divide each side by '-4'.
t = -0.25

Simplifying
t = -0.25
Subproblem 2
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
Solution
t = {-0.25, 0.8333333333}