5a(a-12)-a=12-2a

Solution for 5a(a-12)-a=12-2a equation:

5a(a-12)-a=12-2a

We move all terms to the left:

5a(a-12)-a-(12-2a)=0

We add all the numbers together, and all the variables

5a(a-12)-a-(-2a+12)=0

We add all the numbers together, and all the variables

-1a+5a(a-12)-(-2a+12)=0

We multiply parentheses

5a^2-1a-60a-(-2a+12)=0

We get rid of parentheses

5a^2-1a-60a+2a-12=0

We add all the numbers together, and all the variables

5a^2-59a-12=0

a = 5; b = -59; c = -12;
Δ = b2-4ac
Δ = -592-4·5·(-12)
Δ = 3721
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3721}=61$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-59)-61}{2*5}=\frac{-2}{10}
=-1/5
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-59)+61}{2*5}=\frac{120}{10}
=12
$