6t^2-14t^2-12t=0

Solution for 6t^2-14t^2-12t=0 equation:

Simplifying
6t2 + -14t2 + -12t = 0

Reorder the terms:
-12t + 6t2 + -14t2 = 0

Combine like terms: 6t2 + -14t2 = -8t2
-12t + -8t2 = 0

Solving
-12t + -8t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '-4t'.
-4t(3 + 2t) = 0

Ignore the factor -4.
Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

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

Simplifying
t = 0
Subproblem 2
Set the factor '(3 + 2t)' equal to zero and attempt to solve:

Simplifying
3 + 2t = 0

Solving
3 + 2t = 0

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

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

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

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

Divide each side by '2'.
t = -1.5

Simplifying
t = -1.5
Solution
t = {0, -1.5}