2m-9m+5m2=8m2

Solution for 2m-9m+5m2=8m2 equation:

2m-9m+5m^2=8m^2

We move all terms to the left:

2m-9m+5m^2-(8m^2)=0

determiningTheFunctionDomain
5m^2-8m^2+2m-9m=0

We add all the numbers together, and all the variables

-3m^2-7m=0

a = -3; b = -7; c = 0;
Δ = b2-4ac
Δ = -72-4·(-3)·0
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-7}{2*-3}=\frac{0}{-6}
=0
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+7}{2*-3}=\frac{14}{-6}
=-2+1/3
$