9x^2+6x+12x+8x=0

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Solution for 9x^2+6x+12x+8x=0 equation:



9x^2+6x+12x+8x=0
We add all the numbers together, and all the variables
9x^2+26x=0
a = 9; b = 26; c = 0;
Δ = b2-4ac
Δ = 262-4·9·0
Δ = 676
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{676}=26$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(26)-26}{2*9}=\frac{-52}{18} =-2+8/9 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(26)+26}{2*9}=\frac{0}{18} =0 $

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