2t(3t-1)=6-2t

Solution for 2t(3t-1)=6-2t equation:

Simplifying
2t(3t + -1) = 6 + -2t

Reorder the terms:
2t(-1 + 3t) = 6 + -2t
(-1 * 2t + 3t * 2t) = 6 + -2t
(-2t + 6t2) = 6 + -2t

Add '2t' to each side of the equation.
-2t + 2t + 6t2 = 6 + -2t + 2t

Combine like terms: -2t + 2t = 0
0 + 6t2 = 6 + -2t + 2t
6t2 = 6 + -2t + 2t

Combine like terms: -2t + 2t = 0
6t2 = 6 + 0
6t2 = 6

Solving
6t2 = 6

Solving for variable 't'.

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

Divide each side by '6'.
t2 = 1

Simplifying
t2 = 1

Take the square root of each side:
t = {-1, 1}