72m=36m2+35

Solution for 72m=36m2+35 equation:

72m=36m^2+35

We move all terms to the left:

72m-(36m^2+35)=0

We get rid of parentheses

-36m^2+72m-35=0

a = -36; b = 72; c = -35;
Δ = b2-4ac
Δ = 722-4·(-36)·(-35)
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(72)-12}{2*-36}=\frac{-84}{-72}
=1+1/6
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(72)+12}{2*-36}=\frac{-60}{-72}
=5/6
$