-36t^2-6t+12=0

Solution for -36t^2-6t+12=0 equation:

Simplifying
-36t2 + -6t + 12 = 0

Reorder the terms:
12 + -6t + -36t2 = 0

Solving
12 + -6t + -36t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '6'.
6(2 + -1t + -6t2) = 0

Factor a trinomial.
6((1 + -2t)(2 + 3t)) = 0

Ignore the factor 6.
Subproblem 1
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
Subproblem 2
Set the factor '(2 + 3t)' equal to zero and attempt to solve:

Simplifying
2 + 3t = 0

Solving
2 + 3t = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3t = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3t = 0 + -2
3t = 0 + -2

Combine like terms: 0 + -2 = -2
3t = -2

Divide each side by '3'.
t = -0.6666666667

Simplifying
t = -0.6666666667
Solution
t = {0.5, -0.6666666667}