X^2+8x=167

Solution for X^2+8x=167 equation:

X^2+8X=167

We move all terms to the left:

X^2+8X-(167)=0

a = 1; b = 8; c = -167;
Δ = b2-4ac
Δ = 82-4·1·(-167)
Δ = 732
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:

$\sqrt{\Delta}=\sqrt{732}=\sqrt{4*183}=\sqrt{4}*\sqrt{183}=2\sqrt{183}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-2\sqrt{183}}{2*1}=\frac{-8-2\sqrt{183}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+2\sqrt{183}}{2*1}=\frac{-8+2\sqrt{183}}{2}
$