7/8m-4=-15/16m+1

Solution for 7/8m-4=-15/16m+1 equation:

7/8m-4=-15/16m+1

We move all terms to the left:

7/8m-4-(-15/16m+1)=0


Domain of the equation: 8m!=0

m!=0/8

m!=0

m∈R



Domain of the equation: 16m+1)!=0

m∈R


We get rid of parentheses

7/8m+15/16m-1-4=0

We calculate fractions


112m/128m^2+120m/128m^2-1-4=0

We add all the numbers together, and all the variables

112m/128m^2+120m/128m^2-5=0

We multiply all the terms by the denominator


112m+120m-5*128m^2=0

We add all the numbers together, and all the variables

232m-5*128m^2=0

Wy multiply elements

-640m^2+232m=0

a = -640; b = 232; c = 0;
Δ = b2-4ac
Δ = 2322-4·(-640)·0
Δ = 53824
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{53824}=232$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(232)-232}{2*-640}=\frac{-464}{-1280}
=29/80
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(232)+232}{2*-640}=\frac{0}{-1280}
=0
$