4+2(x-5)/3x-5x+10

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Solution for 4+2(x-5)/3x-5x+10 equation:


x in (-oo:+oo)

x*((2*(x-5))/3)-(5*x)+4+10 = 0

x*((2*(x-5))/3)-5*x+4+10 = 0

(2*x*(x-5))/3-5*x+4+10 = 0

(2*x*(x-5))/3+(-5*3*x)/3+(3*4)/3+(3*10)/3 = 0

2*x*(x-5)-5*3*x+3*4+3*10 = 0

2*x^2-25*x+12+30 = 0

2*x^2-25*x+42 = 0

2*x^2-25*x+42 = 0

2*x^2-25*x+42 = 0

DELTA = (-25)^2-(2*4*42)

DELTA = 289

DELTA > 0

x = (289^(1/2)+25)/(2*2) or x = (25-289^(1/2))/(2*2)

x = 21/2 or x = 2

(x-2)*(x-21/2) = 0

((x-2)*(x-21/2))/3 = 0

((x-2)*(x-21/2))/3 = 0 // * 3

(x-2)*(x-21/2) = 0

( x-2 )

x-2 = 0 // + 2

x = 2

( x-21/2 )

x-21/2 = 0 // + 21/2

x = 21/2

x in { 2, 21/2 }

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