48=8(x+6)24x=8(x+6)

Solution for 48=8(x+6)24x=8(x+6) equation:

48=8(x+6)24x=8(x+6)

We move all terms to the left:

48-(8(x+6)24x)=0


We calculate terms in parentheses: -(8(x+6)24x), so:

8(x+6)24x

We multiply parentheses

192x^2+1152x

Back to the equation:

-(192x^2+1152x)


We get rid of parentheses

-192x^2-1152x+48=0

a = -192; b = -1152; c = +48;
Δ = b2-4ac
Δ = -11522-4·(-192)·48
Δ = 1363968
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1363968}=\sqrt{36864*37}=\sqrt{36864}*\sqrt{37}=192\sqrt{37}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1152)-192\sqrt{37}}{2*-192}=\frac{1152-192\sqrt{37}}{-384}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1152)+192\sqrt{37}}{2*-192}=\frac{1152+192\sqrt{37}}{-384}
$