24x^2-6x-25=5

Solution for 24x^2-6x-25=5 equation:

24x^2-6x-25=5

We move all terms to the left:

24x^2-6x-25-(5)=0

We add all the numbers together, and all the variables

24x^2-6x-30=0

a = 24; b = -6; c = -30;
Δ = b2-4ac
Δ = -62-4·24·(-30)
Δ = 2916
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2916}=54$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-54}{2*24}=\frac{-48}{48}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+54}{2*24}=\frac{60}{48}
=1+1/4
$