2m+8m(8-m)=1.74

Solution for 2m+8m(8-m)=1.74 equation:

2m+8m(8-m)=1.74

We move all terms to the left:

2m+8m(8-m)-(1.74)=0

We add all the numbers together, and all the variables

2m+8m(-1m+8)-(1.74)=0

We add all the numbers together, and all the variables

2m+8m(-1m+8)-1.74=0

We multiply parentheses

-8m^2+2m+64m-1.74=0

We add all the numbers together, and all the variables

-8m^2+66m-1.74=0

a = -8; b = 66; c = -1.74;
Δ = b2-4ac
Δ = 662-4·(-8)·(-1.74)
Δ = 4300.32
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{-(66)-\sqrt{4300.32}}{2*-8}=\frac{-66-\sqrt{4300.32}}{-16}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(66)+\sqrt{4300.32}}{2*-8}=\frac{-66+\sqrt{4300.32}}{-16}
$