Question

6+x=x² solve this equation

Answer 1

it is the solve of this question

Answer 2

6+x = x^2
=> -x^2+x+6 = 0
=> x^2-x-6 = 0
=> x^2-(3-2)x-6 = 0
=> x^2-3x+2x-6 = 0
=> x(x-3)+2(x-3) = 0
=> (x-3)(x+2) = 0

Now,
x-3 = 0
=> x = 3
Or,
x+2 = 0
=> x = -2

So, x = 3,-2