-4m+3/2m=-5

Solution for -4m+3/2m=-5 equation:

-4m+3/2m=-5

We move all terms to the left:

-4m+3/2m-(-5)=0


Domain of the equation: 2m!=0

m!=0/2

m!=0

m∈R


We add all the numbers together, and all the variables

-4m+3/2m+5=0

We multiply all the terms by the denominator


-4m*2m+5*2m+3=0

Wy multiply elements

-8m^2+10m+3=0

a = -8; b = 10; c = +3;
Δ = b2-4ac
Δ = 102-4·(-8)·3
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-14}{2*-8}=\frac{-24}{-16}
=1+1/2
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+14}{2*-8}=\frac{4}{-16}
=-1/4
$