(a-9)(2a-+1)=0

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Solution for (a-9)(2a-+1)=0 equation:



(a-9)(2a-+1)=0
We add all the numbers together, and all the variables
(a-9)(+2a)=0
We multiply parentheses ..
(+2a^2-18a)=0
We get rid of parentheses
2a^2-18a=0
a = 2; b = -18; c = 0;
Δ = b2-4ac
Δ = -182-4·2·0
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*2}=\frac{0}{4} =0 $
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+18}{2*2}=\frac{36}{4} =9 $

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