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

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
$