30x=35(x-1/6)

Solution for 30x=35(x-1/6) equation:

30x=35(x-1/6)

We move all terms to the left:

30x-(35(x-1/6))=0

We add all the numbers together, and all the variables

30x-(35(+x-1/6))=0

We multiply all the terms by the denominator


30x*6))-(35(+x-1=0

We add all the numbers together, and all the variables

x+30x*6))-(35(-1=0

Wy multiply elements

180x^2+x-1=0

a = 180; b = 1; c = -1;
Δ = b2-4ac
Δ = 12-4·180·(-1)
Δ = 721
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{721}}{2*180}=\frac{-1-\sqrt{721}}{360}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{721}}{2*180}=\frac{-1+\sqrt{721}}{360}
$