56t^2-41t-6=0

Solution for 56t^2-41t-6=0 equation:

Simplifying
56t2 + -41t + -6 = 0

Reorder the terms:
-6 + -41t + 56t2 = 0

Solving
-6 + -41t + 56t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-1 + -8t)(6 + -7t) = 0

Subproblem 1
Set the factor '(-1 + -8t)' equal to zero and attempt to solve:

Simplifying
-1 + -8t = 0

Solving
-1 + -8t = 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 + -8t = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -8t = 0 + 1
-8t = 0 + 1

Combine like terms: 0 + 1 = 1
-8t = 1

Divide each side by '-8'.
t = -0.125

Simplifying
t = -0.125
Subproblem 2
Set the factor '(6 + -7t)' equal to zero and attempt to solve:

Simplifying
6 + -7t = 0

Solving
6 + -7t = 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 + -7t = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7t = 0 + -6
-7t = 0 + -6

Combine like terms: 0 + -6 = -6
-7t = -6

Divide each side by '-7'.
t = 0.8571428571

Simplifying
t = 0.8571428571
Solution
t = {-0.125, 0.8571428571}