(50-3x)x=112

Solution for (50-3x)x=112 equation:

(50-3x)x=112

We move all terms to the left:

(50-3x)x-(112)=0

We add all the numbers together, and all the variables

(-3x+50)x-112=0

We multiply parentheses

-3x^2+50x-112=0

a = -3; b = 50; c = -112;
Δ = b2-4ac
Δ = 502-4·(-3)·(-112)
Δ = 1156
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1156}=34$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(50)-34}{2*-3}=\frac{-84}{-6}
=+14
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(50)+34}{2*-3}=\frac{-16}{-6}
=2+2/3
$