6x+2x^2=95

Solution for 6x+2x^2=95 equation:

6x+2x^2=95

We move all terms to the left:

6x+2x^2-(95)=0

a = 2; b = 6; c = -95;
Δ = b2-4ac
Δ = 62-4·2·(-95)
Δ = 796
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{796}=\sqrt{4*199}=\sqrt{4}*\sqrt{199}=2\sqrt{199}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-2\sqrt{199}}{2*2}=\frac{-6-2\sqrt{199}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+2\sqrt{199}}{2*2}=\frac{-6+2\sqrt{199}}{4}
$