(3+a)(8-2a)=0

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Solution for (3+a)(8-2a)=0 equation:



(3+a)(8-2a)=0
We add all the numbers together, and all the variables
(a+3)(-2a+8)=0
We multiply parentheses ..
(-2a^2+8a-6a+24)=0
We get rid of parentheses
-2a^2+8a-6a+24=0
We add all the numbers together, and all the variables
-2a^2+2a+24=0
a = -2; b = 2; c = +24;
Δ = b2-4ac
Δ = 22-4·(-2)·24
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-14}{2*-2}=\frac{-16}{-4} =+4 $
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+14}{2*-2}=\frac{12}{-4} =-3 $

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