7x=(x/20)

Solution for 7x=(x/20) equation:

7x=(x/20)

We move all terms to the left:

7x-((x/20))=0

We add all the numbers together, and all the variables

7x-((+x/20))=0

We multiply all the terms by the denominator


7x*20))-((+x=0

We add all the numbers together, and all the variables

x+7x*20))-((=0

Wy multiply elements

140x^2+x=0

a = 140; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·140·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*140}=\frac{-2}{280}
=-1/140
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*140}=\frac{0}{280}
=0
$