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1/8x+1/5x+1/8=11/10
We move all terms to the left:
1/8x+1/5x+1/8-(11/10)=0
Domain of the equation: 8x!=0
x!=0/8
x!=0
x∈R
Domain of the equation: 5x!=0We add all the numbers together, and all the variables
x!=0/5
x!=0
x∈R
1/8x+1/5x+1/8-(+11/10)=0
We get rid of parentheses
1/8x+1/5x+1/8-11/10=0
We calculate fractions
(-17600x^2)/25600x^2+50x/25600x^2+5120x/25600x^2+50x/25600x^2=0
We multiply all the terms by the denominator
(-17600x^2)+50x+5120x+50x=0
We add all the numbers together, and all the variables
(-17600x^2)+5220x=0
We get rid of parentheses
-17600x^2+5220x=0
a = -17600; b = 5220; c = 0;
Δ = b2-4ac
Δ = 52202-4·(-17600)·0
Δ = 27248400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{27248400}=5220$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5220)-5220}{2*-17600}=\frac{-10440}{-35200} =261/880 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5220)+5220}{2*-17600}=\frac{0}{-35200} =0 $
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