6s^2+7s=+8

Solution for 6s^2+7s=+8 equation:

6s^2+7s=+8

We move all terms to the left:

6s^2+7s-(+8)=0

We add all the numbers together, and all the variables

6s^2+7s-8=0

a = 6; b = 7; c = -8;
Δ = b2-4ac
Δ = 72-4·6·(-8)
Δ = 241
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-\sqrt{241}}{2*6}=\frac{-7-\sqrt{241}}{12}
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{241}}{2*6}=\frac{-7+\sqrt{241}}{12}
$