m-15=1/5m

Solution for m-15=1/5m equation:

m-15=1/5m

We move all terms to the left:

m-15-(1/5m)=0


Domain of the equation: 5m)!=0

m!=0/1

m!=0

m∈R


We add all the numbers together, and all the variables

m-(+1/5m)-15=0

We get rid of parentheses

m-1/5m-15=0

We multiply all the terms by the denominator


m*5m-15*5m-1=0

Wy multiply elements

5m^2-75m-1=0

a = 5; b = -75; c = -1;
Δ = b2-4ac
Δ = -752-4·5·(-1)
Δ = 5645
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-75)-\sqrt{5645}}{2*5}=\frac{75-\sqrt{5645}}{10}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-75)+\sqrt{5645}}{2*5}=\frac{75+\sqrt{5645}}{10}
$