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-3/5(20x+15)=1/10(20x-90)
We move all terms to the left:
-3/5(20x+15)-(1/10(20x-90))=0
Domain of the equation: 5(20x+15)!=0
x∈R
Domain of the equation: 10(20x-90))!=0We calculate fractions
x∈R
(-30x2/(5(20x+15)*10(20x-90)))+(-5x2/(5(20x+15)*10(20x-90)))=0
We calculate terms in parentheses: +(-30x2/(5(20x+15)*10(20x-90))), so:
-30x2/(5(20x+15)*10(20x-90))
We multiply all the terms by the denominator
-30x2
We add all the numbers together, and all the variables
-30x^2
Back to the equation:
+(-30x^2)
We calculate terms in parentheses: +(-5x2/(5(20x+15)*10(20x-90))), so:We get rid of parentheses
-5x2/(5(20x+15)*10(20x-90))
We multiply all the terms by the denominator
-5x2
We add all the numbers together, and all the variables
-5x^2
Back to the equation:
+(-5x^2)
-30x^2-5x^2=0
We add all the numbers together, and all the variables
-35x^2=0
a = -35; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·(-35)·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:$x=\frac{-b}{2a}=\frac{0}{-70}=0$
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