5/3m=15m=

Solution for 5/3m=15m= equation:

5/3m=15m=

We move all terms to the left:

5/3m-(15m)=0


Domain of the equation: 3m!=0

m!=0/3

m!=0

m∈R


We add all the numbers together, and all the variables

-15m+5/3m=0

We multiply all the terms by the denominator


-15m*3m+5=0

Wy multiply elements

-45m^2+5=0

a = -45; b = 0; c = +5;
Δ = b2-4ac
Δ = 02-4·(-45)·5
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-30}{2*-45}=\frac{-30}{-90}
=1/3
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+30}{2*-45}=\frac{30}{-90}
=-1/3
$