What happens in a system of equations being solved by substitution if the "X"is canceled out

Question

For example :

2x+4=3x₂+2x+9

if i were to combine like terms the "2x" on the left would be canceled out by "-2x" what do i do in this situation?

Answer 1

so the original question starts off as

2x+4 = 3x²+2x+9

You substract 2x and find it cancels on both sides. No worries

4=3x²+9

Then subtract 9 from both sides, so

-5=3x²

Then divide 3 from both sides\

-5/3=x²

Then square root both sides. In this case, you will get an imaginary number because you are square rooting a negative number. The result

+/- SQRT(5/3)i

where i represents the answer as an imaginary number and SQRT is square root. And there are 2 possible values for x, one is positive and one is negative.