3x(23x+1)=0

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Solution for 3x(23x+1)=0 equation:



3x(23x+1)=0
We multiply parentheses
69x^2+3x=0
a = 69; b = 3; c = 0;
Δ = b2-4ac
Δ = 32-4·69·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-3}{2*69}=\frac{-6}{138} =-1/23 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3}{2*69}=\frac{0}{138} =0 $

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