Y=10x^2-360

Solution for Y=10x^2-360 equation:

=10Y^2-360

We move all terms to the left:

-(10Y^2-360)=0

We get rid of parentheses

-10Y^2+360=0

a = -10; b = 0; c = +360;
Δ = b2-4ac
Δ = 02-4·(-10)·360
Δ = 14400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14400}=120$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120}{2*-10}=\frac{-120}{-20}
=+6
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120}{2*-10}=\frac{120}{-20}
=-6
$