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(35/m+7)+14=2m
We move all terms to the left:
(35/m+7)+14-(2m)=0
Domain of the equation: m+7)!=0We add all the numbers together, and all the variables
m∈R
-2m+(35/m+7)+14=0
We get rid of parentheses
-2m+35/m+7+14=0
We multiply all the terms by the denominator
-2m*m+7*m+14*m+35=0
We add all the numbers together, and all the variables
21m-2m*m+35=0
Wy multiply elements
-2m^2+21m+35=0
a = -2; b = 21; c = +35;
Δ = b2-4ac
Δ = 212-4·(-2)·35
Δ = 721
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}$$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(21)-\sqrt{721}}{2*-2}=\frac{-21-\sqrt{721}}{-4} $$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(21)+\sqrt{721}}{2*-2}=\frac{-21+\sqrt{721}}{-4} $
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