11x^2+12x+1=1

Solution for 11x^2+12x+1=1 equation:

11x^2+12x+1=1

We move all terms to the left:

11x^2+12x+1-(1)=0

We add all the numbers together, and all the variables

11x^2+12x=0

a = 11; b = 12; c = 0;
Δ = b2-4ac
Δ = 122-4·11·0
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-12}{2*11}=\frac{-24}{22}
=-1+1/11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+12}{2*11}=\frac{0}{22}
=0
$