12xX(17-3x)=0

Solution for 12xX(17-3x)=0 equation:

12xx(17-3x)=0

We add all the numbers together, and all the variables

12xx(-3x+17)=0

We multiply parentheses

-36x^2+204x=0

a = -36; b = 204; c = 0;
Δ = b2-4ac
Δ = 2042-4·(-36)·0
Δ = 41616
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{41616}=204$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(204)-204}{2*-36}=\frac{-408}{-72}
=5+2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(204)+204}{2*-36}=\frac{0}{-72}
=0
$