-13x-6=5x^2

Solution for -13x-6=5x^2 equation:

-13x-6=5x^2

We move all terms to the left:

-13x-6-(5x^2)=0

determiningTheFunctionDomain
-5x^2-13x-6=0

a = -5; b = -13; c = -6;
Δ = b2-4ac
Δ = -132-4·(-5)·(-6)
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-13)-7}{2*-5}=\frac{6}{-10}
=-3/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+7}{2*-5}=\frac{20}{-10}
=-2
$