-11x-6=4x^2

Solution for -11x-6=4x^2 equation:

-11x-6=4x^2

We move all terms to the left:

-11x-6-(4x^2)=0

determiningTheFunctionDomain
-4x^2-11x-6=0

a = -4; b = -11; c = -6;
Δ = b2-4ac
Δ = -112-4·(-4)·(-6)
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-5}{2*-4}=\frac{6}{-8}
=-3/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+5}{2*-4}=\frac{16}{-8}
=-2
$