x(t)=5+2t-3t^2

Solution for x(t)=5+2t-3t^2 equation:

Simplifying
x(t) = 5 + 2t + -3t2

Multiply x * t
tx = 5 + 2t + -3t2

Solving
tx = 5 + 2t + -3t2

Solving for variable 't'.

Reorder the terms:
-5 + -2t + tx + 3t2 = 5 + 2t + -3t2 + -5 + -2t + 3t2

Reorder the terms:
-5 + -2t + tx + 3t2 = 5 + -5 + 2t + -2t + -3t2 + 3t2

Combine like terms: 5 + -5 = 0
-5 + -2t + tx + 3t2 = 0 + 2t + -2t + -3t2 + 3t2
-5 + -2t + tx + 3t2 = 2t + -2t + -3t2 + 3t2

Combine like terms: 2t + -2t = 0
-5 + -2t + tx + 3t2 = 0 + -3t2 + 3t2
-5 + -2t + tx + 3t2 = -3t2 + 3t2

Combine like terms: -3t2 + 3t2 = 0
-5 + -2t + tx + 3t2 = 0

The solution to this equation could not be determined.