-7t^2+41t+6=0

Solution for -7t^2+41t+6=0 equation:

Simplifying
-7t2 + 41t + 6 = 0

Reorder the terms:
6 + 41t + -7t2 = 0

Solving
6 + 41t + -7t2 = 0

Solving for variable 't'.

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

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

Simplifying
6 + -1t = 0

Solving
6 + -1t = 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 + -1t = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1t = 0 + -6
-1t = 0 + -6

Combine like terms: 0 + -6 = -6
-1t = -6

Divide each side by '-1'.
t = 6

Simplifying
t = 6
Subproblem 2
Set the factor '(1 + 7t)' equal to zero and attempt to solve:

Simplifying
1 + 7t = 0

Solving
1 + 7t = 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 + 7t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 7t = 0 + -1
7t = 0 + -1

Combine like terms: 0 + -1 = -1
7t = -1

Divide each side by '7'.
t = -0.1428571429

Simplifying
t = -0.1428571429
Solution
t = {6, -0.1428571429}