20663-9x*4x=19

Solution for 20663-9x*4x=19 equation:

20663-9x*4x=19

We move all terms to the left:

20663-9x*4x-(19)=0

We add all the numbers together, and all the variables

-9x*4x+20644=0

Wy multiply elements

-36x^2+20644=0

a = -36; b = 0; c = +20644;
Δ = b2-4ac
Δ = 02-4·(-36)·20644
Δ = 2972736
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2972736}=\sqrt{576*5161}=\sqrt{576}*\sqrt{5161}=24\sqrt{5161}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{5161}}{2*-36}=\frac{0-24\sqrt{5161}}{-72}
=-\frac{24\sqrt{5161}}{-72}
=-\frac{\sqrt{5161}}{-3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{5161}}{2*-36}=\frac{0+24\sqrt{5161}}{-72}
=\frac{24\sqrt{5161}}{-72}
=\frac{\sqrt{5161}}{-3}
$