5a(a=12)

Solution for 5a(a=12) equation:

5a(a=12)

We move all terms to the left:

5a(a-(12))=0

We multiply parentheses

5a^2-60a=0

a = 5; b = -60; c = 0;
Δ = b2-4ac
Δ = -602-4·5·0
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-60}{2*5}=\frac{0}{10}
=0
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+60}{2*5}=\frac{120}{10}
=12
$