3m(m-14)=0

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Solution for 3m(m-14)=0 equation:



3m(m-14)=0
We multiply parentheses
3m^2-42m=0
a = 3; b = -42; c = 0;
Δ = b2-4ac
Δ = -422-4·3·0
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1764}=42$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-42)-42}{2*3}=\frac{0}{6} =0 $
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-42)+42}{2*3}=\frac{84}{6} =14 $

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