Is this a Solution or No solution? -8t-3t+2=-5t-6t

Question

Solving Equations with variables on both sides.

Answer 1

left side after combining t terms = -11t +2

right side = -11t

add 11 to both sides leaves 2 =0 which has no solution.

No matter what t equals it can't make 2 =0

At least there's no real solution, no real number t that could make that equation true.

There is a "surreal" solution, actually two surreal solutions: infinity and negative infinity.

It's a paradox of the mathematics of infinity

infinity + 2 = infinity

negative infinity + 2 = negative infinity.

So, t = + or - inf are 2 solutions.

But in whatever course you're taking the answer is No solution, as they're just looking for real solutions.