3(x+14)(3x-1)=0

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Solution for 3(x+14)(3x-1)=0 equation:



3(x+14)(3x-1)=0
We multiply parentheses ..
3(+3x^2-1x+42x-14)=0
We multiply parentheses
9x^2-3x+126x-42=0
We add all the numbers together, and all the variables
9x^2+123x-42=0
a = 9; b = 123; c = -42;
Δ = b2-4ac
Δ = 1232-4·9·(-42)
Δ = 16641
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16641}=129$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(123)-129}{2*9}=\frac{-252}{18} =-14 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(123)+129}{2*9}=\frac{6}{18} =1/3 $

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