1x+6x*x=23+12,56

Solution for 1x+6x*x=23+12,56 equation:

1x+6x*x=23+12.56

We move all terms to the left:

1x+6x*x-(23+12.56)=0

We add all the numbers together, and all the variables

1x+6x*x-(35.56)=0

We add all the numbers together, and all the variables

x+6x*x-35.56=0

Wy multiply elements

6x^2+x-35.56=0

a = 6; b = 1; c = -35.56;
Δ = b2-4ac
Δ = 12-4·6·(-35.56)
Δ = 854.44
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{854.44}}{2*6}=\frac{-1-\sqrt{854.44}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{854.44}}{2*6}=\frac{-1+\sqrt{854.44}}{12}
$