x+5=-2(x-)/5

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

x+5=-2(x-)/5

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply all the terms by the denominator


x*5)-(-2(+x)+5*5)=0

We add all the numbers together, and all the variables

x*5)-(-2(+x)=0

We multiply parentheses

x*5)-(-2x=0

Wy multiply elements

5x^2-2x=0

a = 5; b = -2; c = 0;
Δ = b2-4ac
Δ = -22-4·5·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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