2(2a)(a=5)

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

2(2a)(a=5)

We move all terms to the left:

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

We multiply parentheses

22a^2-110a=0

a = 22; b = -110; c = 0;
Δ = b2-4ac
Δ = -1102-4·22·0
Δ = 12100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12100}=110$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-110)-110}{2*22}=\frac{0}{44}
=0
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-110)+110}{2*22}=\frac{220}{44}
=5
$