30x=-2-100x^2

Solution for 30x=-2-100x^2 equation:

30x=-2-100x^2

We move all terms to the left:

30x-(-2-100x^2)=0

We get rid of parentheses

100x^2+30x+2=0

a = 100; b = 30; c = +2;
Δ = b2-4ac
Δ = 302-4·100·2
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-10}{2*100}=\frac{-40}{200}
=-1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+10}{2*100}=\frac{-20}{200}
=-1/10
$