2i+3=2i−5

infinite solutions
i = 5\
i = 4/13
i = -1/3
i = 8

3 answers

The correct solution is actually infinite solutions.

This is because when we subtract 2i from both sides of the equation, it cancels out and we are left with 3 = -5. This statement is false and implies that there are no values of i that can satisfy the equation. Therefore, the equation has no solutions.
what?
Apologies for the confusion.

Let's solve the equation step by step:

2i + 3 = 2i - 5

To solve for i, we can subtract 2i from both sides:

2i - 2i + 3 = 2i - 2i - 5

Simplifying, we get:

3 = -5

Since the equation simplifies to an inconsistency (3 does not equal -5), there is no solution to the equation.