2m-30/m=+4

Solution for 2m-30/m=+4 equation:

2m-30/m=+4

We move all terms to the left:

2m-30/m-(+4)=0


Domain of the equation: m!=0

m∈R


We add all the numbers together, and all the variables

2m-30/m-4=0

We multiply all the terms by the denominator


2m*m-4*m-30=0

We add all the numbers together, and all the variables

-4m+2m*m-30=0

Wy multiply elements

2m^2-4m-30=0

a = 2; b = -4; c = -30;
Δ = b2-4ac
Δ = -42-4·2·(-30)
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{256}=16$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-16}{2*2}=\frac{-12}{4}
=-3
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+16}{2*2}=\frac{20}{4}
=5
$