1/7x+1/9x+1/7=89/63

Solution for 1/7x+1/9x+1/7=89/63 equation:

1/7x+1/9x+1/7=89/63

We move all terms to the left:

1/7x+1/9x+1/7-(89/63)=0


Domain of the equation: 7x!=0

x!=0/7

x!=0

x∈R



Domain of the equation: 9x!=0

x!=0/9

x!=0

x∈R


We add all the numbers together, and all the variables

1/7x+1/9x+1/7-(+89/63)=0

We get rid of parentheses

1/7x+1/9x+1/7-89/63=0

We calculate fractions


(-353241x^2)/194481x^2+3402x/194481x^2+21609x/194481x^2+3402x/194481x^2=0

We multiply all the terms by the denominator


(-353241x^2)+3402x+21609x+3402x=0

We add all the numbers together, and all the variables

(-353241x^2)+28413x=0

We get rid of parentheses

-353241x^2+28413x=0

a = -353241; b = 28413; c = 0;
Δ = b2-4ac
Δ = 284132-4·(-353241)·0
Δ = 807298569
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{807298569}=28413$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(28413)-28413}{2*-353241}=\frac{-56826}{-706482}
=451/5607
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(28413)+28413}{2*-353241}=\frac{0}{-706482}
=0
$