3x(12x+5)=0

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Solution for 3x(12x+5)=0 equation:



3x(12x+5)=0
We multiply parentheses
36x^2+15x=0
a = 36; b = 15; c = 0;
Δ = b2-4ac
Δ = 152-4·36·0
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-15}{2*36}=\frac{-30}{72} =-5/12 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+15}{2*36}=\frac{0}{72} =0 $

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