M/m+5m=20

Solution for M/m+5m=20 equation:

/M+5M=20

We move all terms to the left:

/M+5M-(20)=0


Domain of the equation: M!=0

M∈R


We add all the numbers together, and all the variables

5M+/M-20=0

We multiply all the terms by the denominator


5M*M-20*M+=0

We add all the numbers together, and all the variables

-20M+5M*M=0

Wy multiply elements

5M^2-20M=0

a = 5; b = -20; c = 0;
Δ = b2-4ac
Δ = -202-4·5·0
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$M_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$M_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$M_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-20}{2*5}=\frac{0}{10}
=0
$
$M_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+20}{2*5}=\frac{40}{10}
=4
$