(18+4)+m+m(5-3)=22

Solution for (18+4)+m+m(5-3)=22 equation:

(18+4)+m+m(5-3)=22

We move all terms to the left:

(18+4)+m+m(5-3)-(22)=0

determiningTheFunctionDomain
m+m(5-3)-22+(18+4)=0

We add all the numbers together, and all the variables

m+m2-22+22=0

We add all the numbers together, and all the variables

m^2+m=0

a = 1; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·1·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*1}=\frac{-2}{2}
=-1
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*1}=\frac{0}{2}
=0
$