(4(8x-2))/3x=10

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Solution for (4(8x-2))/3x=10 equation: 


x in (-oo:+oo)

x*((4*(8*x-2))/3) = 10 // - 10

x*((4*(8*x-2))/3)-10 = 0

(4*x*(8*x-2))/3-10 = 0

(4*x*(8*x-2))/3+(-10*3)/3 = 0

4*x*(8*x-2)-10*3 = 0

32*x^2-8*x-30 = 0

32*x^2-8*x-30 = 0

2*(16*x^2-4*x-15) = 0

16*x^2-4*x-15 = 0

DELTA = (-4)^2-(-15*4*16)

DELTA = 976

DELTA > 0

x = (976^(1/2)+4)/(2*16) or x = (4-976^(1/2))/(2*16)

x = (4*61^(1/2)+4)/32 or x = (4-4*61^(1/2))/32

2*(x-((4-4*61^(1/2))/32))*(x-((4*61^(1/2)+4)/32)) = 0

(2*(x-((4-4*61^(1/2))/32))*(x-((4*61^(1/2)+4)/32)))/3 = 0

(2*(x-((4-4*61^(1/2))/32))*(x-((4*61^(1/2)+4)/32)))/3 = 0 // * 3

2*(x-((4-4*61^(1/2))/32))*(x-((4*61^(1/2)+4)/32)) = 0

( x-((4*61^(1/2)+4)/32) )

x-((4*61^(1/2)+4)/32) = 0 // + (4*61^(1/2)+4)/32

x = (4*61^(1/2)+4)/32

( x-((4-4*61^(1/2))/32) )

x-((4-4*61^(1/2))/32) = 0 // + (4-4*61^(1/2))/32

x = (4-4*61^(1/2))/32

x in { (4*61^(1/2)+4)/32, (4-4*61^(1/2))/32 }

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