Y=3m2-7m-10

Solution for Y=3m2-7m-10 equation:

=3Y^2-7Y-10

We move all terms to the left:

-(3Y^2-7Y-10)=0

We get rid of parentheses

-3Y^2+7Y+10=0

a = -3; b = 7; c = +10;
Δ = b2-4ac
Δ = 72-4·(-3)·10
Δ = 169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{169}=13$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-13}{2*-3}=\frac{-20}{-6}
=3+1/3
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+13}{2*-3}=\frac{6}{-6}
=-1
$