15/16m-3/4m=15

Solution for 15/16m-3/4m=15 equation:

15/16m-3/4m=15

We move all terms to the left:

15/16m-3/4m-(15)=0


Domain of the equation: 16m!=0

m!=0/16

m!=0

m∈R



Domain of the equation: 4m!=0

m!=0/4

m!=0

m∈R


We calculate fractions


60m/64m^2+(-48m)/64m^2-15=0

We multiply all the terms by the denominator


60m+(-48m)-15*64m^2=0

Wy multiply elements

-960m^2+60m+(-48m)=0

We get rid of parentheses

-960m^2+60m-48m=0

We add all the numbers together, and all the variables

-960m^2+12m=0

a = -960; b = 12; c = 0;
Δ = b2-4ac
Δ = 122-4·(-960)·0
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-12}{2*-960}=\frac{-24}{-1920}
=1/80
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+12}{2*-960}=\frac{0}{-1920}
=0
$