-4(8+6r)24r=154

Solution for -4(8+6r)24r=154 equation:

-4(8+6r)24r=154

We move all terms to the left:

-4(8+6r)24r-(154)=0

We add all the numbers together, and all the variables

-4(6r+8)24r-154=0

We multiply parentheses

-576r^2-768r-154=0

a = -576; b = -768; c = -154;
Δ = b2-4ac
Δ = -7682-4·(-576)·(-154)
Δ = 235008
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{235008}=\sqrt{2304*102}=\sqrt{2304}*\sqrt{102}=48\sqrt{102}$
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-768)-48\sqrt{102}}{2*-576}=\frac{768-48\sqrt{102}}{-1152}
$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-768)+48\sqrt{102}}{2*-576}=\frac{768+48\sqrt{102}}{-1152}
$