x=4x^2-24x

Solution for x=4x^2-24x equation:

x=4x^2-24x

We move all terms to the left:

x-(4x^2-24x)=0

We get rid of parentheses

-4x^2+x+24x=0

We add all the numbers together, and all the variables

-4x^2+25x=0

a = -4; b = 25; c = 0;
Δ = b2-4ac
Δ = 252-4·(-4)·0
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{625}=25$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(25)-25}{2*-4}=\frac{-50}{-8}
=6+1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+25}{2*-4}=\frac{0}{-8}
=0
$