4x^2=48x

Solution for 4x^2=48x equation:

4x^2=48x

We move all terms to the left:

4x^2-(48x)=0

a = 4; b = -48; c = 0;
Δ = b2-4ac
Δ = -482-4·4·0
Δ = 2304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2304}=48$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-48)-48}{2*4}=\frac{0}{8}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-48)+48}{2*4}=\frac{96}{8}
=12
$