Y=6m+10m^2

Solution for Y=6m+10m^2 equation:

=6Y+10Y^2

We move all terms to the left:

-(6Y+10Y^2)=0

We get rid of parentheses

-10Y^2-6Y=0

a = -10; b = -6; c = 0;
Δ = b2-4ac
Δ = -62-4·(-10)·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-6}{2*-10}=\frac{0}{-20}
=0
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+6}{2*-10}=\frac{12}{-20}
=-3/5
$