-7/4m+1/2m=-35/24

Solution for -7/4m+1/2m=-35/24 equation:

-7/4m+1/2m=-35/24

We move all terms to the left:

-7/4m+1/2m-(-35/24)=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 get rid of parentheses

-7/4m+1/2m+35/24=0

We calculate fractions


560m^2/384m^2+(-672m)/384m^2+192m/384m^2=0

We multiply all the terms by the denominator


560m^2+(-672m)+192m=0

We add all the numbers together, and all the variables

560m^2+192m+(-672m)=0

We get rid of parentheses

560m^2+192m-672m=0

We add all the numbers together, and all the variables

560m^2-480m=0

a = 560; b = -480; c = 0;
Δ = b2-4ac
Δ = -4802-4·560·0
Δ = 230400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{230400}=480$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-480)-480}{2*560}=\frac{0}{1120}
=0
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-480)+480}{2*560}=\frac{960}{1120}
=6/7
$