-3/4m=-24m=

Solution for -3/4m=-24m= equation:

-3/4m=-24m=

We move all terms to the left:

-3/4m-(-24m)=0


Domain of the equation: 4m!=0

m!=0/4

m!=0

m∈R


We get rid of parentheses

-3/4m+24m=0

We multiply all the terms by the denominator


24m*4m-3=0

Wy multiply elements

96m^2-3=0

a = 96; b = 0; c = -3;
Δ = b2-4ac
Δ = 02-4·96·(-3)
Δ = 1152
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1152}=\sqrt{576*2}=\sqrt{576}*\sqrt{2}=24\sqrt{2}$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{2}}{2*96}=\frac{0-24\sqrt{2}}{192}
=-\frac{24\sqrt{2}}{192}
=-\frac{\sqrt{2}}{8}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{2}}{2*96}=\frac{0+24\sqrt{2}}{192}
=\frac{24\sqrt{2}}{192}
=\frac{\sqrt{2}}{8}
$