3x(8x-5x+9)=0

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Solution for 3x(8x-5x+9)=0 equation:



3x(8x-5x+9)=0
We add all the numbers together, and all the variables
3x(3x+9)=0
We multiply parentheses
9x^2+27x=0
a = 9; b = 27; c = 0;
Δ = b2-4ac
Δ = 272-4·9·0
Δ = 729
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{729}=27$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(27)-27}{2*9}=\frac{-54}{18} =-3 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(27)+27}{2*9}=\frac{0}{18} =0 $

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