x2+4x+9=-4x+2

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Solution for x2+4x+9=-4x+2 equation:



x2+4x+9=-4x+2
We move all terms to the left:
x2+4x+9-(-4x+2)=0
We add all the numbers together, and all the variables
x^2+4x-(-4x+2)+9=0
We get rid of parentheses
x^2+4x+4x-2+9=0
We add all the numbers together, and all the variables
x^2+8x+7=0
a = 1; b = 8; c = +7;
Δ = b2-4ac
Δ = 82-4·1·7
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-6}{2*1}=\frac{-14}{2} =-7 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+6}{2*1}=\frac{-2}{2} =-1 $

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