6+11*x+5*x^2=1+1*x

Solution for 6+11*x+5*x^2=1+1*x equation:

6+11*x+5*x^2=1+1*x

We move all terms to the left:

6+11*x+5*x^2-(1+1*x)=0

We add all the numbers together, and all the variables

11*x+5*x^2-(x+1)+6=0

We add all the numbers together, and all the variables

5x^2+11x-(x+1)+6=0

We get rid of parentheses

5x^2+11x-x-1+6=0

We add all the numbers together, and all the variables

5x^2+10x+5=0

a = 5; b = 10; c = +5;
Δ = b2-4ac
Δ = 102-4·5·5
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{-10}{10}=-1$