(1/2)x-3/5=2/5

Solution for (1/2)x-3/5=2/5 equation:

(1/2)x-3/5=2/5

We move all terms to the left:

(1/2)x-3/5-(2/5)=0


Domain of the equation: 2)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+1/2)x-3/5-(+2/5)=0

We multiply parentheses

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

We get rid of parentheses

x^2-3/5-2/5=0

We multiply all the terms by the denominator


x^2*5-3-2=0

We add all the numbers together, and all the variables

x^2*5-5=0

Wy multiply elements

5x^2-5=0

a = 5; b = 0; c = -5;
Δ = b2-4ac
Δ = 02-4·5·(-5)
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10}{2*5}=\frac{-10}{10}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10}{2*5}=\frac{10}{10}
=1
$