x2+6x=-3x-20

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Solution for x2+6x=-3x-20 equation:



x2+6x=-3x-20
We move all terms to the left:
x2+6x-(-3x-20)=0
We add all the numbers together, and all the variables
x^2+6x-(-3x-20)=0
We get rid of parentheses
x^2+6x+3x+20=0
We add all the numbers together, and all the variables
x^2+9x+20=0
a = 1; b = 9; c = +20;
Δ = b2-4ac
Δ = 92-4·1·20
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-1}{2*1}=\frac{-10}{2} =-5 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+1}{2*1}=\frac{-8}{2} =-4 $

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