(X-8)(2x)=154

Solution for (X-8)(2x)=154 equation:

(X-8)(2X)=154

We move all terms to the left:

(X-8)(2X)-(154)=0

We multiply parentheses

2X^2-16X-154=0

a = 2; b = -16; c = -154;
Δ = b2-4ac
Δ = -162-4·2·(-154)
Δ = 1488
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:

$\sqrt{\Delta}=\sqrt{1488}=\sqrt{16*93}=\sqrt{16}*\sqrt{93}=4\sqrt{93}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-4\sqrt{93}}{2*2}=\frac{16-4\sqrt{93}}{4}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+4\sqrt{93}}{2*2}=\frac{16+4\sqrt{93}}{4}
$