-3/8x-5/24x=-30

Solution for -3/8x-5/24x=-30 equation:

-3/8x-5/24x=-30

We move all terms to the left:

-3/8x-5/24x-(-30)=0


Domain of the equation: 8x!=0

x!=0/8

x!=0

x∈R



Domain of the equation: 24x!=0

x!=0/24

x!=0

x∈R


We add all the numbers together, and all the variables

-3/8x-5/24x+30=0

We calculate fractions


(-72x)/192x^2+(-40x)/192x^2+30=0

We multiply all the terms by the denominator


(-72x)+(-40x)+30*192x^2=0

Wy multiply elements

5760x^2+(-72x)+(-40x)=0

We get rid of parentheses

5760x^2-72x-40x=0

We add all the numbers together, and all the variables

5760x^2-112x=0

a = 5760; b = -112; c = 0;
Δ = b2-4ac
Δ = -1122-4·5760·0
Δ = 12544
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12544}=112$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-112)-112}{2*5760}=\frac{0}{11520}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-112)+112}{2*5760}=\frac{224}{11520}
=7/360
$