-3x=10x^2

Solution for -3x=10x^2 equation:

-3x=10x^2

We move all terms to the left:

-3x-(10x^2)=0

determiningTheFunctionDomain
-10x^2-3x=0

a = -10; b = -3; c = 0;
Δ = b2-4ac
Δ = -32-4·(-10)·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-3}{2*-10}=\frac{0}{-20}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+3}{2*-10}=\frac{6}{-20}
=-3/10
$