2a(5a-9)=

Solution for 2a(5a-9)= equation:

2a(5a-9)=

We move all terms to the left:

2a(5a-9)-()=0

We add all the numbers together, and all the variables

2a(5a-9)=0

We multiply parentheses

10a^2-18a=0

a = 10; b = -18; c = 0;
Δ = b2-4ac
Δ = -182-4·10·0
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-18}{2*10}=\frac{0}{20}
=0
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+18}{2*10}=\frac{36}{20}
=1+4/5
$