(x/5)-(x/6)=(7/6)

Solution for (x/5)-(x/6)=(7/6) equation:

(x/5)-(x/6)=(7/6)

We move all terms to the left:

(x/5)-(x/6)-((7/6))=0

We add all the numbers together, and all the variables

(+x/5)-(+x/6)-((+7/6))=0

We get rid of parentheses

x/5-x/6-((+7/6))=0

We calculate fractions


216x^2/()+(-5x)/()+()/()=0

We add all the numbers together, and all the variables

216x^2/()+(-5x)/()+1=0

We multiply all the terms by the denominator


216x^2+(-5x)+1*()=0

We add all the numbers together, and all the variables

216x^2+(-5x)=0

We get rid of parentheses

216x^2-5x=0

a = 216; b = -5; c = 0;
Δ = b2-4ac
Δ = -52-4·216·0
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-5}{2*216}=\frac{0}{432}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+5}{2*216}=\frac{10}{432}
=5/216
$