x*3=x+1+x*x

Solution for x*3=x+1+x*x equation:

x*3=x+1+x*x

We move all terms to the left:

x*3-(x+1+x*x)=0

We add all the numbers together, and all the variables

x*3-(x+x*x+1)=0

Wy multiply elements

3x-(x+x*x+1)=0

We get rid of parentheses

3x-x-x*x-1=0

We add all the numbers together, and all the variables

2x-x*x-1=0

Wy multiply elements

-1x^2+2x-1=0

a = -1; b = 2; c = -1;
Δ = b2-4ac
Δ = 22-4·(-1)·(-1)
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{-2}{-2}=1$