3/5m-1-2m=10=18

Solution for 3/5m-1-2m=10=18 equation:

3/5m-1-2m=10=18

We move all terms to the left:

3/5m-1-2m-(10)=0


Domain of the equation: 5m!=0

m!=0/5

m!=0

m∈R


We add all the numbers together, and all the variables

-2m+3/5m-11=0

We multiply all the terms by the denominator


-2m*5m-11*5m+3=0

Wy multiply elements

-10m^2-55m+3=0

a = -10; b = -55; c = +3;
Δ = b2-4ac
Δ = -552-4·(-10)·3
Δ = 3145
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{-(-55)-\sqrt{3145}}{2*-10}=\frac{55-\sqrt{3145}}{-20}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-55)+\sqrt{3145}}{2*-10}=\frac{55+\sqrt{3145}}{-20}
$