4t(3t-2)=3-8t

Solution for 4t(3t-2)=3-8t equation:

Simplifying
4t(3t + -2) = 3 + -8t

Reorder the terms:
4t(-2 + 3t) = 3 + -8t
(-2 * 4t + 3t * 4t) = 3 + -8t
(-8t + 12t2) = 3 + -8t

Add '8t' to each side of the equation.
-8t + 8t + 12t2 = 3 + -8t + 8t

Combine like terms: -8t + 8t = 0
0 + 12t2 = 3 + -8t + 8t
12t2 = 3 + -8t + 8t

Combine like terms: -8t + 8t = 0
12t2 = 3 + 0
12t2 = 3

Solving
12t2 = 3

Solving for variable 't'.

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

Divide each side by '12'.
t2 = 0.25

Simplifying
t2 = 0.25

Take the square root of each side:
t = {-0.5, 0.5}