5x=(x/24)

Solution for 5x=(x/24) equation:

5x=(x/24)

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply all the terms by the denominator


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

We add all the numbers together, and all the variables

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

Wy multiply elements

120x^2+x=0

a = 120; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·120·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*120}=\frac{-2}{240}
=-1/120
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*120}=\frac{0}{240}
=0
$