-5c=(5/24)

Solution for -5c=(5/24) equation:

-5c=(5/24)

We move all terms to the left:

-5c-((5/24))=0

We add all the numbers together, and all the variables

-5c-((+5/24))=0

We multiply all the terms by the denominator


-5c*24))-((+5=0

Wy multiply elements

-120c^2+5=0

a = -120; b = 0; c = +5;
Δ = b2-4ac
Δ = 02-4·(-120)·5
Δ = 2400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2400}=\sqrt{400*6}=\sqrt{400}*\sqrt{6}=20\sqrt{6}$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{6}}{2*-120}=\frac{0-20\sqrt{6}}{-240}
=-\frac{20\sqrt{6}}{-240}
=-\frac{\sqrt{6}}{-12}
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{6}}{2*-120}=\frac{0+20\sqrt{6}}{-240}
=\frac{20\sqrt{6}}{-240}
=\frac{\sqrt{6}}{-12}
$