-7/9x-4/36x+1/7=-88

Solution for -7/9x-4/36x+1/7=-88 equation:

-7/9x-4/36x+1/7=-88

We move all terms to the left:

-7/9x-4/36x+1/7-(-88)=0


Domain of the equation: 9x!=0

x!=0/9

x!=0

x∈R



Domain of the equation: 36x!=0

x!=0/36

x!=0

x∈R


We add all the numbers together, and all the variables

-7/9x-4/36x+88+1/7=0

We calculate fractions


972x^2/15876x^2+(-12348x)/15876x^2+(-1764x)/15876x^2+88=0

We multiply all the terms by the denominator


972x^2+(-12348x)+(-1764x)+88*15876x^2=0

Wy multiply elements

972x^2+1397088x^2+(-12348x)+(-1764x)=0

We get rid of parentheses

972x^2+1397088x^2-12348x-1764x=0

We add all the numbers together, and all the variables

1398060x^2-14112x=0

a = 1398060; b = -14112; c = 0;
Δ = b2-4ac
Δ = -141122-4·1398060·0
Δ = 199148544
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{199148544}=14112$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14112)-14112}{2*1398060}=\frac{0}{2796120}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14112)+14112}{2*1398060}=\frac{28224}{2796120}
=392/38835
$