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3e-18=4(-3-(3/4e))
We move all terms to the left:
3e-18-(4(-3-(3/4e)))=0
Domain of the equation: 4e)))!=0We add all the numbers together, and all the variables
e!=0/1
e!=0
e∈R
3e-(4(-3-(+3/4e)))-18=0
We multiply all the terms by the denominator
3e*4e)))-(4(-3-(-18*4e)))+3=0
Wy multiply elements
12e^2-72e=0
a = 12; b = -72; c = 0;
Δ = b2-4ac
Δ = -722-4·12·0
Δ = 5184
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$e_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$e_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{5184}=72$$e_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-72)-72}{2*12}=\frac{0}{24} =0 $$e_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-72)+72}{2*12}=\frac{144}{24} =6 $
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