-2m+2=1/5m+11

Solution for -2m+2=1/5m+11 equation:

-2m+2=1/5m+11

We move all terms to the left:

-2m+2-(1/5m+11)=0


Domain of the equation: 5m+11)!=0

m∈R


We get rid of parentheses

-2m-1/5m-11+2=0

We multiply all the terms by the denominator


-2m*5m-11*5m+2*5m-1=0

Wy multiply elements

-10m^2-55m+10m-1=0

We add all the numbers together, and all the variables

-10m^2-45m-1=0

a = -10; b = -45; c = -1;
Δ = b2-4ac
Δ = -452-4·(-10)·(-1)
Δ = 1985
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{-(-45)-\sqrt{1985}}{2*-10}=\frac{45-\sqrt{1985}}{-20}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-45)+\sqrt{1985}}{2*-10}=\frac{45+\sqrt{1985}}{-20}
$