-7/9x-2/45+1/5x=-56

Solution for -7/9x-2/45+1/5x=-56 equation:

-7/9x-2/45+1/5x=-56

We move all terms to the left:

-7/9x-2/45+1/5x-(-56)=0


Domain of the equation: 9x!=0

x!=0/9

x!=0

x∈R



Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R


We add all the numbers together, and all the variables

-7/9x+1/5x+56-2/45=0

We calculate fractions


(-450x^2)/8100x^2+(-6300x)/8100x^2+1620x/8100x^2+56=0

We multiply all the terms by the denominator


(-450x^2)+(-6300x)+1620x+56*8100x^2=0

We add all the numbers together, and all the variables

(-450x^2)+1620x+(-6300x)+56*8100x^2=0

Wy multiply elements

(-450x^2)+453600x^2+1620x+(-6300x)=0

We get rid of parentheses

-450x^2+453600x^2+1620x-6300x=0

We add all the numbers together, and all the variables

453150x^2-4680x=0

a = 453150; b = -4680; c = 0;
Δ = b2-4ac
Δ = -46802-4·453150·0
Δ = 21902400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{21902400}=4680$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4680)-4680}{2*453150}=\frac{0}{906300}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4680)+4680}{2*453150}=\frac{9360}{906300}
=52/5035
$