4x-2/7x=119

Solution for 4x-2/7x=119 equation:

4x-2/7x=119

We move all terms to the left:

4x-2/7x-(119)=0


Domain of the equation: 7x!=0

x!=0/7

x!=0

x∈R


We multiply all the terms by the denominator


4x*7x-119*7x-2=0

Wy multiply elements

28x^2-833x-2=0

a = 28; b = -833; c = -2;
Δ = b2-4ac
Δ = -8332-4·28·(-2)
Δ = 694113
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-833)-\sqrt{694113}}{2*28}=\frac{833-\sqrt{694113}}{56}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-833)+\sqrt{694113}}{2*28}=\frac{833+\sqrt{694113}}{56}
$