/a-a=-5

Solution for /a-a=-5 equation:

/a-a=-5

We move all terms to the left:

/a-a-(-5)=0


Domain of the equation: a!=0

a∈R


We add all the numbers together, and all the variables

-1a+/a+5=0

We multiply all the terms by the denominator


-1a*a+5*a+=0

We add all the numbers together, and all the variables

5a-1a*a=0

Wy multiply elements

-1a^2+5a=0

a = -1; b = 5; c = 0;
Δ = b2-4ac
Δ = 52-4·(-1)·0
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-5}{2*-1}=\frac{-10}{-2}
=+5
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+5}{2*-1}=\frac{0}{-2}
=0
$