/18x+14=62-6x

Solution for /18x+14=62-6x equation:

/18x+14=62-6x

We move all terms to the left:

/18x+14-(62-6x)=0


Domain of the equation: 18x!=0

x!=0/18

x!=0

x∈R


We add all the numbers together, and all the variables

/18x-(-6x+62)+14=0

We get rid of parentheses

/18x+6x-62+14=0

We multiply all the terms by the denominator


6x*18x-62*18x+14*18x+=0

We add all the numbers together, and all the variables

6x*18x-62*18x+14*18x=0

Wy multiply elements

108x^2-1116x+252x=0

We add all the numbers together, and all the variables

108x^2-864x=0

a = 108; b = -864; c = 0;
Δ = b2-4ac
Δ = -8642-4·108·0
Δ = 746496
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{746496}=864$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-864)-864}{2*108}=\frac{0}{216}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-864)+864}{2*108}=\frac{1728}{216}
=8
$