24x^2+112=184x

Solution for 24x^2+112=184x equation:

24x^2+112=184x

We move all terms to the left:

24x^2+112-(184x)=0

a = 24; b = -184; c = +112;
Δ = b2-4ac
Δ = -1842-4·24·112
Δ = 23104
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{23104}=152$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-184)-152}{2*24}=\frac{32}{48}
=2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-184)+152}{2*24}=\frac{336}{48}
=7
$