-7/9-5/36x+1/4x=-48

Solution for -7/9-5/36x+1/4x=-48 equation:

-7/9-5/36x+1/4x=-48

We move all terms to the left:

-7/9-5/36x+1/4x-(-48)=0


Domain of the equation: 36x!=0

x!=0/36

x!=0

x∈R



Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R


We add all the numbers together, and all the variables

-5/36x+1/4x+48-7/9=0

We calculate fractions


(-4032x^2)/11664x^2+(-1620x)/11664x^2+2916x/11664x^2+48=0

We multiply all the terms by the denominator


(-4032x^2)+(-1620x)+2916x+48*11664x^2=0

We add all the numbers together, and all the variables

(-4032x^2)+2916x+(-1620x)+48*11664x^2=0

Wy multiply elements

(-4032x^2)+559872x^2+2916x+(-1620x)=0

We get rid of parentheses

-4032x^2+559872x^2+2916x-1620x=0

We add all the numbers together, and all the variables

555840x^2+1296x=0

a = 555840; b = 1296; c = 0;
Δ = b2-4ac
Δ = 12962-4·555840·0
Δ = 1679616
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1679616}=1296$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1296)-1296}{2*555840}=\frac{-2592}{1111680}
=-9/3860
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1296)+1296}{2*555840}=\frac{0}{1111680}
=0
$