X2-30+45y=0

Solution for X2-30+45y=0 equation:

X2-30+45X=0

We add all the numbers together, and all the variables

X^2+45X-30=0

a = 1; b = 45; c = -30;
Δ = b2-4ac
Δ = 452-4·1·(-30)
Δ = 2145
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(45)-\sqrt{2145}}{2*1}=\frac{-45-\sqrt{2145}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(45)+\sqrt{2145}}{2*1}=\frac{-45+\sqrt{2145}}{2}
$