6x2+22x=8

Solution for 6x2+22x=8 equation:

6x^2+22x=8

We move all terms to the left:

6x^2+22x-(8)=0

a = 6; b = 22; c = -8;
Δ = b2-4ac
Δ = 222-4·6·(-8)
Δ = 676
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{676}=26$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(22)-26}{2*6}=\frac{-48}{12}
=-4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(22)+26}{2*6}=\frac{4}{12}
=1/3
$