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

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


x in (-oo:+oo)

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

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

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

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

4*x^2-18*x-16 = 0

4*x^2-18*x-16 = 0

2*(2*x^2-9*x-8) = 0

2*x^2-9*x-8 = 0

DELTA = (-9)^2-(-8*2*4)

DELTA = 145

DELTA > 0

x = (145^(1/2)+9)/(2*2) or x = (9-145^(1/2))/(2*2)

x = (145^(1/2)+9)/4 or x = (9-145^(1/2))/4

2*(x-((9-145^(1/2))/4))*(x-((145^(1/2)+9)/4)) = 0

(2*(x-((9-145^(1/2))/4))*(x-((145^(1/2)+9)/4)))/3 = 0

(2*(x-((9-145^(1/2))/4))*(x-((145^(1/2)+9)/4)))/3 = 0 // * 3

2*(x-((9-145^(1/2))/4))*(x-((145^(1/2)+9)/4)) = 0

( x-((145^(1/2)+9)/4) )

x-((145^(1/2)+9)/4) = 0 // + (145^(1/2)+9)/4

x = (145^(1/2)+9)/4

( x-((9-145^(1/2))/4) )

x-((9-145^(1/2))/4) = 0 // + (9-145^(1/2))/4

x = (9-145^(1/2))/4

x in { (145^(1/2)+9)/4, (9-145^(1/2))/4 }

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