3a(5-a)=0

Solution for 3a(5-a)=0 equation:

3a(5-a)=0

We add all the numbers together, and all the variables

3a(-1a+5)=0

We multiply parentheses

-3a^2+15a=0

a = -3; b = 15; c = 0;
Δ = b2-4ac
Δ = 152-4·(-3)·0
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-15}{2*-3}=\frac{-30}{-6}
=+5
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+15}{2*-3}=\frac{0}{-6}
=0
$