4/7x+5/14x=59

Solution for 4/7x+5/14x=59 equation:

4/7x+5/14x=59

We move all terms to the left:

4/7x+5/14x-(59)=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


56x/98x^2+35x/98x^2-59=0

We multiply all the terms by the denominator


56x+35x-59*98x^2=0

We add all the numbers together, and all the variables

91x-59*98x^2=0

Wy multiply elements

-5782x^2+91x=0

a = -5782; b = 91; c = 0;
Δ = b2-4ac
Δ = 912-4·(-5782)·0
Δ = 8281
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8281}=91$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(91)-91}{2*-5782}=\frac{-182}{-11564}
=13/826
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(91)+91}{2*-5782}=\frac{0}{-11564}
=0
$