3x+2x2=120

Solution for 3x+2x2=120 equation:

3x+2x^2=120

We move all terms to the left:

3x+2x^2-(120)=0

a = 2; b = 3; c = -120;
Δ = b2-4ac
Δ = 32-4·2·(-120)
Δ = 969
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{969}}{2*2}=\frac{-3-\sqrt{969}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{969}}{2*2}=\frac{-3+\sqrt{969}}{4}
$