1/7x+12/14x=1

Solution for 1/7x+12/14x=1 equation:

1/7x+12/14x=1

We move all terms to the left:

1/7x+12/14x-(1)=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


14x/98x^2+84x/98x^2-1=0

We multiply all the terms by the denominator


14x+84x-1*98x^2=0

We add all the numbers together, and all the variables

98x-1*98x^2=0

Wy multiply elements

-98x^2+98x=0

a = -98; b = 98; c = 0;
Δ = b2-4ac
Δ = 982-4·(-98)·0
Δ = 9604
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9604}=98$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(98)-98}{2*-98}=\frac{-196}{-196}
=1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(98)+98}{2*-98}=\frac{0}{-196}
=0
$