a+a+(5/2)a=180

Solution for a+a+(5/2)a=180 equation:

a+a+(5/2)a=180

We move all terms to the left:

a+a+(5/2)a-(180)=0


Domain of the equation: 2)a!=0

a!=0/1

a!=0

a∈R


We add all the numbers together, and all the variables

a+a+(+5/2)a-180=0

We add all the numbers together, and all the variables

2a+(+5/2)a-180=0

We multiply parentheses

5a^2+2a-180=0

a = 5; b = 2; c = -180;
Δ = b2-4ac
Δ = 22-4·5·(-180)
Δ = 3604
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{3604}=\sqrt{4*901}=\sqrt{4}*\sqrt{901}=2\sqrt{901}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2\sqrt{901}}{2*5}=\frac{-2-2\sqrt{901}}{10}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2\sqrt{901}}{2*5}=\frac{-2+2\sqrt{901}}{10}
$