/5m-8-3m=16

Solution for /5m-8-3m=16 equation:

/5m-8-3m=16

We move all terms to the left:

/5m-8-3m-(16)=0


Domain of the equation: 5m!=0

m!=0/5

m!=0

m∈R


We add all the numbers together, and all the variables

-3m+/5m-24=0

We multiply all the terms by the denominator


-3m*5m-24*5m+=0

We add all the numbers together, and all the variables

-3m*5m-24*5m=0

Wy multiply elements

-15m^2-120m=0

a = -15; b = -120; c = 0;
Δ = b2-4ac
Δ = -1202-4·(-15)·0
Δ = 14400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14400}=120$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-120)-120}{2*-15}=\frac{0}{-30}
=0
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-120)+120}{2*-15}=\frac{240}{-30}
=-8
$