(19/30)x=19

Solution for (19/30)x=19 equation:

(19/30)x=19

We move all terms to the left:

(19/30)x-(19)=0


Domain of the equation: 30)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+19/30)x-19=0

We multiply parentheses

19x^2-19=0

a = 19; b = 0; c = -19;
Δ = b2-4ac
Δ = 02-4·19·(-19)
Δ = 1444
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1444}=38$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-38}{2*19}=\frac{-38}{38}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+38}{2*19}=\frac{38}{38}
=1
$