7k^2+14k-88=8

Solution for 7k^2+14k-88=8 equation:

7k^2+14k-88=8

We move all terms to the left:

7k^2+14k-88-(8)=0

We add all the numbers together, and all the variables

7k^2+14k-96=0

a = 7; b = 14; c = -96;
Δ = b2-4ac
Δ = 142-4·7·(-96)
Δ = 2884
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2884}=\sqrt{4*721}=\sqrt{4}*\sqrt{721}=2\sqrt{721}$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-2\sqrt{721}}{2*7}=\frac{-14-2\sqrt{721}}{14}
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+2\sqrt{721}}{2*7}=\frac{-14+2\sqrt{721}}{14}
$