17m=10m^2

Solution for 17m=10m^2 equation:

17m=10m^2

We move all terms to the left:

17m-(10m^2)=0

determiningTheFunctionDomain
-10m^2+17m=0

a = -10; b = 17; c = 0;
Δ = b2-4ac
Δ = 172-4·(-10)·0
Δ = 289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{289}=17$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-17}{2*-10}=\frac{-34}{-20}
=1+7/10
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+17}{2*-10}=\frac{0}{-20}
=0
$