X+5x2=8

Solution for X+5x2=8 equation:

X+5X^2=8

We move all terms to the left:

X+5X^2-(8)=0

a = 5; b = 1; c = -8;
Δ = b2-4ac
Δ = 12-4·5·(-8)
Δ = 161
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{161}}{2*5}=\frac{-1-\sqrt{161}}{10}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{161}}{2*5}=\frac{-1+\sqrt{161}}{10}
$