=2+t(3-t)-3t

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

Simplifying
0 = 2 + t(3 + -1t) + -3t
0 = 2 + (3 * t + -1t * t) + -3t
0 = 2 + (3t + -1t2) + -3t

Reorder the terms:
0 = 2 + 3t + -3t + -1t2

Combine like terms: 3t + -3t = 0
0 = 2 + 0 + -1t2
0 = 2 + -1t2

Solving
0 = 2 + -1t2

Solving for variable 't'.

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

Add 't2' to each side of the equation.
0 + t2 = 2 + -1t2 + t2
Remove the zero:
t2 = 2 + -1t2 + t2

Combine like terms: -1t2 + t2 = 0
t2 = 2 + 0
t2 = 2

Simplifying
t2 = 2

Take the square root of each side:
t = {-1.414213562, 1.414213562}