4t(2t-1)+3t=8-t

Solution for 4t(2t-1)+3t=8-t equation:

Simplifying
4t(2t + -1) + 3t = 8 + -1t

Reorder the terms:
4t(-1 + 2t) + 3t = 8 + -1t
(-1 * 4t + 2t * 4t) + 3t = 8 + -1t
(-4t + 8t2) + 3t = 8 + -1t

Reorder the terms:
-4t + 3t + 8t2 = 8 + -1t

Combine like terms: -4t + 3t = -1t
-1t + 8t2 = 8 + -1t

Add 't' to each side of the equation.
-1t + t + 8t2 = 8 + -1t + t

Combine like terms: -1t + t = 0
0 + 8t2 = 8 + -1t + t
8t2 = 8 + -1t + t

Combine like terms: -1t + t = 0
8t2 = 8 + 0
8t2 = 8

Solving
8t2 = 8

Solving for variable 't'.

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

Divide each side by '8'.
t2 = 1

Simplifying
t2 = 1

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