-2/9x-7/72x+1/8=-42

Solution for -2/9x-7/72x+1/8=-42 equation:

-2/9x-7/72x+1/8=-42

We move all terms to the left:

-2/9x-7/72x+1/8-(-42)=0


Domain of the equation: 9x!=0

x!=0/9

x!=0

x∈R



Domain of the equation: 72x!=0

x!=0/72

x!=0

x∈R


We add all the numbers together, and all the variables

-2/9x-7/72x+42+1/8=0

We calculate fractions


4536x^2/41472x^2+(-9216x)/41472x^2+(-4032x)/41472x^2+42=0

We multiply all the terms by the denominator


4536x^2+(-9216x)+(-4032x)+42*41472x^2=0

Wy multiply elements

4536x^2+1741824x^2+(-9216x)+(-4032x)=0

We get rid of parentheses

4536x^2+1741824x^2-9216x-4032x=0

We add all the numbers together, and all the variables

1746360x^2-13248x=0

a = 1746360; b = -13248; c = 0;
Δ = b2-4ac
Δ = -132482-4·1746360·0
Δ = 175509504
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{175509504}=13248$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-13248)-13248}{2*1746360}=\frac{0}{3492720}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13248)+13248}{2*1746360}=\frac{26496}{3492720}
=184/24255
$