X(2x-12)=432

Solution for X(2x-12)=432 equation:

X(2X-12)=432

We move all terms to the left:

X(2X-12)-(432)=0

We multiply parentheses

2X^2-12X-432=0

a = 2; b = -12; c = -432;
Δ = b2-4ac
Δ = -122-4·2·(-432)
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-60}{2*2}=\frac{-48}{4}
=-12
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+60}{2*2}=\frac{72}{4}
=18
$