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24-1/4(4x)=18-1/30(3x)
We move all terms to the left:
24-1/4(4x)-(18-1/30(3x))=0
Domain of the equation: 44x!=0
x!=0/44
x!=0
x∈R
Domain of the equation: 303x)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
-1/44x-(-1/303x+18)+24=0
We get rid of parentheses
-1/44x+1/303x-18+24=0
We calculate fractions
(-303x)/13332x^2+44x/13332x^2-18+24=0
We add all the numbers together, and all the variables
(-303x)/13332x^2+44x/13332x^2+6=0
We multiply all the terms by the denominator
(-303x)+44x+6*13332x^2=0
We add all the numbers together, and all the variables
44x+(-303x)+6*13332x^2=0
Wy multiply elements
79992x^2+44x+(-303x)=0
We get rid of parentheses
79992x^2+44x-303x=0
We add all the numbers together, and all the variables
79992x^2-259x=0
a = 79992; b = -259; c = 0;
Δ = b2-4ac
Δ = -2592-4·79992·0
Δ = 67081
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{67081}=259$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-259)-259}{2*79992}=\frac{0}{159984} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-259)+259}{2*79992}=\frac{518}{159984} =259/79992 $
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