7x+7/9x+9=0

Solution for 7x+7/9x+9=0 equation:

7x+7/9x+9=0


Domain of the equation: 9x!=0

x!=0/9

x!=0

x∈R


We multiply all the terms by the denominator


7x*9x+9*9x+7=0

Wy multiply elements

63x^2+81x+7=0

a = 63; b = 81; c = +7;
Δ = b2-4ac
Δ = 812-4·63·7
Δ = 4797
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{4797}=\sqrt{9*533}=\sqrt{9}*\sqrt{533}=3\sqrt{533}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(81)-3\sqrt{533}}{2*63}=\frac{-81-3\sqrt{533}}{126}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(81)+3\sqrt{533}}{2*63}=\frac{-81+3\sqrt{533}}{126}
$