3/5(2x+5)=2/5(2x+7)

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Solution for 3/5(2x+5)=2/5(2x+7) equation:



3/5(2x+5)=2/5(2x+7)
We move all terms to the left:
3/5(2x+5)-(2/5(2x+7))=0
Domain of the equation: 5(2x+5)!=0
x∈R
Domain of the equation: 5(2x+7))!=0
x∈R
We calculate fractions
(15x2/(5(2x+5)*5(2x+7)))+(-10x2/(5(2x+5)*5(2x+7)))=0
We calculate terms in parentheses: +(15x2/(5(2x+5)*5(2x+7))), so:
15x2/(5(2x+5)*5(2x+7))
We multiply all the terms by the denominator
15x2
We add all the numbers together, and all the variables
15x^2
Back to the equation:
+(15x^2)
We calculate terms in parentheses: +(-10x2/(5(2x+5)*5(2x+7))), so:
-10x2/(5(2x+5)*5(2x+7))
We multiply all the terms by the denominator
-10x2
We add all the numbers together, and all the variables
-10x^2
Back to the equation:
+(-10x^2)
We add all the numbers together, and all the variables
15x^2+(-10x^2)=0
We get rid of parentheses
15x^2-10x^2=0
We add all the numbers together, and all the variables
5x^2=0
a = 5; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·5·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{10}=0$

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