6t^2+72t+13t+156=0

Solution for 6t^2+72t+13t+156=0 equation:

Simplifying
6t2 + 72t + 13t + 156 = 0

Reorder the terms:
156 + 72t + 13t + 6t2 = 0

Combine like terms: 72t + 13t = 85t
156 + 85t + 6t2 = 0

Solving
156 + 85t + 6t2 = 0

Solving for variable 't'.

Factor a trinomial.
(12 + t)(13 + 6t) = 0

Subproblem 1
Set the factor '(12 + t)' equal to zero and attempt to solve:

Simplifying
12 + t = 0

Solving
12 + t = 0

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

Add '-12' to each side of the equation.
12 + -12 + t = 0 + -12

Combine like terms: 12 + -12 = 0
0 + t = 0 + -12
t = 0 + -12

Combine like terms: 0 + -12 = -12
t = -12

Simplifying
t = -12
Subproblem 2
Set the factor '(13 + 6t)' equal to zero and attempt to solve:

Simplifying
13 + 6t = 0

Solving
13 + 6t = 0

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

Add '-13' to each side of the equation.
13 + -13 + 6t = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 6t = 0 + -13
6t = 0 + -13

Combine like terms: 0 + -13 = -13
6t = -13

Divide each side by '6'.
t = -2.166666667

Simplifying
t = -2.166666667
Solution
t = {-12, -2.166666667}