7x-5/24x=-2.4

Solution for 7x-5/24x=-2.4 equation:

7x-5/24x=-2.4

We move all terms to the left:

7x-5/24x-(-2.4)=0


Domain of the equation: 24x!=0

x!=0/24

x!=0

x∈R


We add all the numbers together, and all the variables

7x-5/24x+2.4=0

We multiply all the terms by the denominator


7x*24x+(2.4)*24x-5=0

We multiply parentheses

7x*24x+57.6x-5=0

Wy multiply elements

168x^2+57.6x-5=0

a = 168; b = 57.6; c = -5;
Δ = b2-4ac
Δ = 57.62-4·168·(-5)
Δ = 6677.76
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(57.6)-\sqrt{6677.76}}{2*168}=\frac{-57.6-\sqrt{6677.76}}{336}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(57.6)+\sqrt{6677.76}}{2*168}=\frac{-57.6+\sqrt{6677.76}}{336}
$