27x*16x=24*18

Solution for 27x*16x=24*18 equation:

27x*16x=24*18

We move all terms to the left:

27x*16x-(24*18)=0

We add all the numbers together, and all the variables

27x*16x-432=0

Wy multiply elements

432x^2-432=0

a = 432; b = 0; c = -432;
Δ = b2-4ac
Δ = 02-4·432·(-432)
Δ = 746496
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{746496}=864$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-864}{2*432}=\frac{-864}{864}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+864}{2*432}=\frac{864}{864}
=1
$