16(4-3m)=96(-m/3)+1

Solution for 16(4-3m)=96(-m/3)+1 equation:

16(4-3m)=96(-m/3)+1

We move all terms to the left:

16(4-3m)-(96(-m/3)+1)=0

We add all the numbers together, and all the variables

16(-3m+4)-(96(-m/3)+1)=0

We multiply parentheses

-48m-(96(-m/3)+1)+64=0

We multiply all the terms by the denominator


-48m*3)+1)-(96(-m+64*3)+1)=0

We add all the numbers together, and all the variables

-48m*3)+1)-(96(-1m+192)+1)=0

We add all the numbers together, and all the variables

-1m-48m*3)+1)-(96(=0

Wy multiply elements

-144m^2-1m=0

a = -144; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·(-144)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*-144}=\frac{0}{-288}
=0
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*-144}=\frac{2}{-288}
=-1/144
$