5a(a=20)

Solution for 5a(a=20) equation:

5a(a=20)

We move all terms to the left:

5a(a-(20))=0

We multiply parentheses

5a^2-100a=0

a = 5; b = -100; c = 0;
Δ = b2-4ac
Δ = -1002-4·5·0
Δ = 10000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10000}=100$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-100)-100}{2*5}=\frac{0}{10}
=0
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-100)+100}{2*5}=\frac{200}{10}
=20
$