X(4x-2)=552

Solution for X(4x-2)=552 equation:

X(4X-2)=552

We move all terms to the left:

X(4X-2)-(552)=0

We multiply parentheses

4X^2-2X-552=0

a = 4; b = -2; c = -552;
Δ = b2-4ac
Δ = -22-4·4·(-552)
Δ = 8836
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8836}=94$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-94}{2*4}=\frac{-92}{8}
=-11+1/2
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+94}{2*4}=\frac{96}{8}
=12
$