6m^2+21m=0

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Solution for 6m^2+21m=0 equation:



6m^2+21m=0
a = 6; b = 21; c = 0;
Δ = b2-4ac
Δ = 212-4·6·0
Δ = 441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{441}=21$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(21)-21}{2*6}=\frac{-42}{12} =-3+1/2 $
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(21)+21}{2*6}=\frac{0}{12} =0 $

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