(4x-4)(x)=168

Solution for (4x-4)(x)=168 equation:

(4x-4)(x)=168

We move all terms to the left:

(4x-4)(x)-(168)=0

We multiply parentheses

4x^2-4x-168=0

a = 4; b = -4; c = -168;
Δ = b2-4ac
Δ = -42-4·4·(-168)
Δ = 2704
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2704}=52$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-52}{2*4}=\frac{-48}{8}
=-6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+52}{2*4}=\frac{56}{8}
=7
$