(1/10)x=3/5

Solution for (1/10)x=3/5 equation:

(1/10)x=3/5

We move all terms to the left:

(1/10)x-(3/5)=0


Domain of the equation: 10)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+1/10)x-(+3/5)=0

We multiply parentheses

x^2-(+3/5)=0

We get rid of parentheses

x^2-3/5=0

We multiply all the terms by the denominator


x^2*5-3=0

Wy multiply elements

5x^2-3=0

a = 5; b = 0; c = -3;
Δ = b2-4ac
Δ = 02-4·5·(-3)
Δ = 60
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{60}=\sqrt{4*15}=\sqrt{4}*\sqrt{15}=2\sqrt{15}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{15}}{2*5}=\frac{0-2\sqrt{15}}{10}
=-\frac{2\sqrt{15}}{10}
=-\frac{\sqrt{15}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{15}}{2*5}=\frac{0+2\sqrt{15}}{10}
=\frac{2\sqrt{15}}{10}
=\frac{\sqrt{15}}{5}
$