-10x-3=3x2

Solution for -10x-3=3x2 equation:

-10x-3=3x^2

We move all terms to the left:

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

determiningTheFunctionDomain
-3x^2-10x-3=0

a = -3; b = -10; c = -3;
Δ = b2-4ac
Δ = -102-4·(-3)·(-3)
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-8}{2*-3}=\frac{2}{-6}
=-1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+8}{2*-3}=\frac{18}{-6}
=-3
$