4x/3(2x-4)=48

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Solution for 4x/3(2x-4)=48 equation: 


x in (-oo:+oo)

((4*x)/3)*(2*x-4) = 48 // - 48

((4*x)/3)*(2*x-4)-48 = 0

4/3*x*(2*x-4)-48 = 0

4/3*x*(2*x-4)-48 = 0

8/3*x^2-16/3*x-48 = 0

8/3*x^2-16/3*x-48 = 0

8*(1/3*x^2-2/3*x-6) = 0

1/3*x^2-2/3*x-6 = 0

DELTA = (-2/3)^2-(-6*1/3*4)

DELTA = 76/9

DELTA > 0

x = ((76/9)^(1/2)+2/3)/(1/3*2) or x = (2/3-(76/9)^(1/2))/(1/3*2)

x = 3/2*((76/9)^(1/2)+2/3) or x = 3/2*(2/3-(76/9)^(1/2))

8*(x-3/2*(2/3-(76/9)^(1/2)))*(x-3/2*((76/9)^(1/2)+2/3)) = 0

8*(x-3/2*(2/3-(76/9)^(1/2)))*(x-3/2*((76/9)^(1/2)+2/3)) = 0

( x-3/2*((76/9)^(1/2)+2/3) )

x-3/2*((76/9)^(1/2)+2/3) = 0 // + -3/2*((76/9)^(1/2)+2/3)

x = -(-3/2*((76/9)^(1/2)+2/3))

x = 3/2*((76/9)^(1/2)+2/3)

( x-3/2*(2/3-(76/9)^(1/2)) )

x-3/2*(2/3-(76/9)^(1/2)) = 0 // + -3/2*(2/3-(76/9)^(1/2))

x = -(-3/2*(2/3-(76/9)^(1/2)))

x = 3/2*(2/3-(76/9)^(1/2))

x in { 3/2*((76/9)^(1/2)+2/3), 3/2*(2/3-(76/9)^(1/2)) }

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