1/10(x-1)=2/5(x+7)1/5x

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Solution for 1/10(x-1)=2/5(x+7)1/5x equation:


x in (-oo:+oo)

(1/10)*(x-1) = x*(((2/5)*(x+7)^1)/5) // - x*(((2/5)*(x+7)^1)/5)

(1/10)*(x-1)-(x*(((2/5)*(x+7)^1)/5)) = 0

(1/10)*(x-1)+(-2/25)*x*(x+7) = 0

1/10*(x-1)-2/25*x*(x+7) = 0

1/10*(x-1)-2/25*x*(x+7) = 0

-2/25*x^2-23/50*x-1/10 = 0

-2/25*x^2-23/50*x-1/10 = 0

-1/5*(2/5*x^2+23/10*x+1/2) = 0

2/5*x^2+23/10*x+1/2 = 0

DELTA = (23/10)^2-(2/5*1/2*4)

DELTA = 449/100

DELTA > 0

x = ((449/100)^(1/2)-23/10)/(2/5*2) or x = (-(449/100)^(1/2)-23/10)/(2/5*2)

x = 5/4*((449/100)^(1/2)-23/10) or x = -5/4*((449/100)^(1/2)+23/10)

-1/5*(x+5/4*((449/100)^(1/2)+23/10))*(x-5/4*((449/100)^(1/2)-23/10)) = 0

-1/5*(x+5/4*((449/100)^(1/2)+23/10))*(x-5/4*((449/100)^(1/2)-23/10)) = 0

( x+5/4*((449/100)^(1/2)+23/10) )

x+5/4*((449/100)^(1/2)+23/10) = 0 // - 5/4*((449/100)^(1/2)+23/10)

x = -(5/4*((449/100)^(1/2)+23/10))

x = -5/4*((449/100)^(1/2)+23/10)

( x-5/4*((449/100)^(1/2)-23/10) )

x-5/4*((449/100)^(1/2)-23/10) = 0 // + -5/4*((449/100)^(1/2)-23/10)

x = -(-5/4*((449/100)^(1/2)-23/10))

x = 5/4*((449/100)^(1/2)-23/10)

x in { -5/4*((449/100)^(1/2)+23/10), 5/4*((449/100)^(1/2)-23/10) }

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