5/7x+5/14x=39

Solution for 5/7x+5/14x=39 equation:

5/7x+5/14x=39

We move all terms to the left:

5/7x+5/14x-(39)=0


Domain of the equation: 7x!=0

x!=0/7

x!=0

x∈R



Domain of the equation: 14x!=0

x!=0/14

x!=0

x∈R


We calculate fractions


70x/98x^2+35x/98x^2-39=0

We multiply all the terms by the denominator


70x+35x-39*98x^2=0

We add all the numbers together, and all the variables

105x-39*98x^2=0

Wy multiply elements

-3822x^2+105x=0

a = -3822; b = 105; c = 0;
Δ = b2-4ac
Δ = 1052-4·(-3822)·0
Δ = 11025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11025}=105$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(105)-105}{2*-3822}=\frac{-210}{-7644}
=5/182
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(105)+105}{2*-3822}=\frac{0}{-7644}
=0
$