3x+3x2=88

Solution for 3x+3x2=88 equation:

3x+3x^2=88

We move all terms to the left:

3x+3x^2-(88)=0

a = 3; b = 3; c = -88;
Δ = b2-4ac
Δ = 32-4·3·(-88)
Δ = 1065
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{-(3)-\sqrt{1065}}{2*3}=\frac{-3-\sqrt{1065}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{1065}}{2*3}=\frac{-3+\sqrt{1065}}{6}
$