30m^2+10m=0

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Solution for 30m^2+10m=0 equation:



30m^2+10m=0
a = 30; b = 10; c = 0;
Δ = b2-4ac
Δ = 102-4·30·0
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-10}{2*30}=\frac{-20}{60} =-1/3 $
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+10}{2*30}=\frac{0}{60} =0 $

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