10m(7m+4)-5m=16

Solution for 10m(7m+4)-5m=16 equation:

10m(7m+4)-5m=16

We move all terms to the left:

10m(7m+4)-5m-(16)=0

We add all the numbers together, and all the variables

-5m+10m(7m+4)-16=0

We multiply parentheses

70m^2-5m+40m-16=0

We add all the numbers together, and all the variables

70m^2+35m-16=0

a = 70; b = 35; c = -16;
Δ = b2-4ac
Δ = 352-4·70·(-16)
Δ = 5705
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(35)-\sqrt{5705}}{2*70}=\frac{-35-\sqrt{5705}}{140}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(35)+\sqrt{5705}}{2*70}=\frac{-35+\sqrt{5705}}{140}
$