(2*m)/5-(6*m^2)=0

Solution for (2*m)/5-(6*m^2)=0 equation:

(2m)/5-(6m^2)=0

determiningTheFunctionDomain
-6m^2+2m/5=0

We multiply all the terms by the denominator


-6m^2*5+2m=0

Wy multiply elements

-30m^2+2m=0

a = -30; b = 2; c = 0;
Δ = b2-4ac
Δ = 22-4·(-30)·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2}{2*-30}=\frac{-4}{-60}
=1/15
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2}{2*-30}=\frac{0}{-60}
=0
$