-4x(6x-2)=-48x

Solution for -4x(6x-2)=-48x equation:

-4x(6x-2)=-48x

We move all terms to the left:

-4x(6x-2)-(-48x)=0

We multiply parentheses

-24x^2+8x-(-48x)=0

We get rid of parentheses

-24x^2+8x+48x=0

We add all the numbers together, and all the variables

-24x^2+56x=0

a = -24; b = 56; c = 0;
Δ = b2-4ac
Δ = 562-4·(-24)·0
Δ = 3136
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3136}=56$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(56)-56}{2*-24}=\frac{-112}{-48}
=2+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(56)+56}{2*-24}=\frac{0}{-48}
=0
$