2/17x+7=3/23x

Solution for 2/17x+7=3/23x equation:

2/17x+7=3/23x

We move all terms to the left:

2/17x+7-(3/23x)=0


Domain of the equation: 17x!=0

x!=0/17

x!=0

x∈R



Domain of the equation: 23x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

2/17x-(+3/23x)+7=0

We get rid of parentheses

2/17x-3/23x+7=0

We calculate fractions


46x/391x^2+(-51x)/391x^2+7=0

We multiply all the terms by the denominator


46x+(-51x)+7*391x^2=0

Wy multiply elements

2737x^2+46x+(-51x)=0

We get rid of parentheses

2737x^2+46x-51x=0

We add all the numbers together, and all the variables

2737x^2-5x=0

a = 2737; b = -5; c = 0;
Δ = b2-4ac
Δ = -52-4·2737·0
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-5}{2*2737}=\frac{0}{5474}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+5}{2*2737}=\frac{10}{5474}
=5/2737
$