5n^2-150=-5n

Solution for 5n^2-150=-5n equation:

5n^2-150=-5n

We move all terms to the left:

5n^2-150-(-5n)=0

We get rid of parentheses

5n^2+5n-150=0

a = 5; b = 5; c = -150;
Δ = b2-4ac
Δ = 52-4·5·(-150)
Δ = 3025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3025}=55$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-55}{2*5}=\frac{-60}{10}
=-6
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+55}{2*5}=\frac{50}{10}
=5
$