1=12x2+11x

Solution for 1=12x2+11x equation:

1=12x^2+11x

We move all terms to the left:

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

We get rid of parentheses

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

a = -12; b = -11; c = +1;
Δ = b2-4ac
Δ = -112-4·(-12)·1
Δ = 169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{169}=13$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-13}{2*-12}=\frac{-2}{-24}
=1/12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+13}{2*-12}=\frac{24}{-24}
=-1
$