14x+2/7x=7

Solution for 14x+2/7x=7 equation:

14x+2/7x=7

We move all terms to the left:

14x+2/7x-(7)=0


Domain of the equation: 7x!=0

x!=0/7

x!=0

x∈R


We multiply all the terms by the denominator


14x*7x-7*7x+2=0

Wy multiply elements

98x^2-49x+2=0

a = 98; b = -49; c = +2;
Δ = b2-4ac
Δ = -492-4·98·2
Δ = 1617
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:

$\sqrt{\Delta}=\sqrt{1617}=\sqrt{49*33}=\sqrt{49}*\sqrt{33}=7\sqrt{33}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-49)-7\sqrt{33}}{2*98}=\frac{49-7\sqrt{33}}{196}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-49)+7\sqrt{33}}{2*98}=\frac{49+7\sqrt{33}}{196}
$