4/9m-1/18m=-7

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Solution for 4/9m-1/18m=-7 equation:



4/9m-1/18m=-7
We move all terms to the left:
4/9m-1/18m-(-7)=0
Domain of the equation: 9m!=0
m!=0/9
m!=0
m∈R
Domain of the equation: 18m!=0
m!=0/18
m!=0
m∈R
We add all the numbers together, and all the variables
4/9m-1/18m+7=0
We calculate fractions
72m/162m^2+(-9m)/162m^2+7=0
We multiply all the terms by the denominator
72m+(-9m)+7*162m^2=0
Wy multiply elements
1134m^2+72m+(-9m)=0
We get rid of parentheses
1134m^2+72m-9m=0
We add all the numbers together, and all the variables
1134m^2+63m=0
a = 1134; b = 63; c = 0;
Δ = b2-4ac
Δ = 632-4·1134·0
Δ = 3969
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3969}=63$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(63)-63}{2*1134}=\frac{-126}{2268} =-1/18 $
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(63)+63}{2*1134}=\frac{0}{2268} =0 $

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