-3/4m-5-1/2m=1

Solution for -3/4m-5-1/2m=1 equation:

-3/4m-5-1/2m=1

We move all terms to the left:

-3/4m-5-1/2m-(1)=0


Domain of the equation: 4m!=0

m!=0/4

m!=0

m∈R



Domain of the equation: 2m!=0

m!=0/2

m!=0

m∈R


We add all the numbers together, and all the variables

-3/4m-1/2m-6=0

We calculate fractions


(-6m)/8m^2+(-4m)/8m^2-6=0

We multiply all the terms by the denominator


(-6m)+(-4m)-6*8m^2=0

Wy multiply elements

-48m^2+(-6m)+(-4m)=0

We get rid of parentheses

-48m^2-6m-4m=0

We add all the numbers together, and all the variables

-48m^2-10m=0

a = -48; b = -10; c = 0;
Δ = b2-4ac
Δ = -102-4·(-48)·0
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-10}{2*-48}=\frac{0}{-96}
=0
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+10}{2*-48}=\frac{20}{-96}
=-5/24
$