4(3x-6)/2x=5

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Solution for 4(3x-6)/2x=5 equation: 


x in (-oo:+oo)

x*((4*(3*x-6))/2) = 5 // - 5

x*((4*(3*x-6))/2)-5 = 0

(4*x*(3*x-6))/2-5 = 0

(4*x*(3*x-6))/2+(-5*2)/2 = 0

4*x*(3*x-6)-5*2 = 0

12*x^2-24*x-10 = 0

12*x^2-24*x-10 = 0

2*(6*x^2-12*x-5) = 0

6*x^2-12*x-5 = 0

DELTA = (-12)^2-(-5*4*6)

DELTA = 264

DELTA > 0

x = (264^(1/2)+12)/(2*6) or x = (12-264^(1/2))/(2*6)

x = (2*66^(1/2)+12)/12 or x = (12-2*66^(1/2))/12

2*(x-((12-2*66^(1/2))/12))*(x-((2*66^(1/2)+12)/12)) = 0

(2*(x-((12-2*66^(1/2))/12))*(x-((2*66^(1/2)+12)/12)))/2 = 0

(2*(x-((12-2*66^(1/2))/12))*(x-((2*66^(1/2)+12)/12)))/2 = 0 // * 2

2*(x-((12-2*66^(1/2))/12))*(x-((2*66^(1/2)+12)/12)) = 0

( x-((12-2*66^(1/2))/12) )

x-((12-2*66^(1/2))/12) = 0 // + (12-2*66^(1/2))/12

x = (12-2*66^(1/2))/12

( x-((2*66^(1/2)+12)/12) )

x-((2*66^(1/2)+12)/12) = 0 // + (2*66^(1/2)+12)/12

x = (2*66^(1/2)+12)/12

x in { (12-2*66^(1/2))/12, (2*66^(1/2)+12)/12 }

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