x+3(x^2)=528

Solution for x+3(x^2)=528 equation:

x+3(x^2)=528

We move all terms to the left:

x+3(x^2)-(528)=0

determiningTheFunctionDomain
3x^2+x-528=0

a = 3; b = 1; c = -528;
Δ = b2-4ac
Δ = 12-4·3·(-528)
Δ = 6337
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{6337}}{2*3}=\frac{-1-\sqrt{6337}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{6337}}{2*3}=\frac{-1+\sqrt{6337}}{6}
$