-5/4x+5/3x=-35/36

Solution for -5/4x+5/3x=-35/36 equation:

-5/4x+5/3x=-35/36

We move all terms to the left:

-5/4x+5/3x-(-35/36)=0


Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R



Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R


We get rid of parentheses

-5/4x+5/3x+35/36=0

We calculate fractions


1260x^2/1296x^2+(-1620x)/1296x^2+2160x/1296x^2=0

We multiply all the terms by the denominator


1260x^2+(-1620x)+2160x=0

We add all the numbers together, and all the variables

1260x^2+2160x+(-1620x)=0

We get rid of parentheses

1260x^2+2160x-1620x=0

We add all the numbers together, and all the variables

1260x^2+540x=0

a = 1260; b = 540; c = 0;
Δ = b2-4ac
Δ = 5402-4·1260·0
Δ = 291600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{291600}=540$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(540)-540}{2*1260}=\frac{-1080}{2520}
=-3/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(540)+540}{2*1260}=\frac{0}{2520}
=0
$