16m2-85m+112=3m

Solution for 16m2-85m+112=3m equation:

16m^2-85m+112=3m

We move all terms to the left:

16m^2-85m+112-(3m)=0

We add all the numbers together, and all the variables

16m^2-88m+112=0

a = 16; b = -88; c = +112;
Δ = b2-4ac
Δ = -882-4·16·112
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-88)-24}{2*16}=\frac{64}{32}
=2
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-88)+24}{2*16}=\frac{112}{32}
=3+1/2
$