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

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


x in (-oo:+oo)

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

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

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

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

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

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

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

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

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

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

DELTA = 184

DELTA > 0

x = (184^(1/2)+12)/(2*2) or x = (12-184^(1/2))/(2*2)

x = (2*46^(1/2)+12)/4 or x = (12-2*46^(1/2))/4

2*(x-((12-2*46^(1/2))/4))*(x-((2*46^(1/2)+12)/4)) = 0

(2*(x-((12-2*46^(1/2))/4))*(x-((2*46^(1/2)+12)/4)))/2 = 0

(2*(x-((12-2*46^(1/2))/4))*(x-((2*46^(1/2)+12)/4)))/2 = 0 // * 2

2*(x-((12-2*46^(1/2))/4))*(x-((2*46^(1/2)+12)/4)) = 0

( x-((12-2*46^(1/2))/4) )

x-((12-2*46^(1/2))/4) = 0 // + (12-2*46^(1/2))/4

x = (12-2*46^(1/2))/4

( x-((2*46^(1/2)+12)/4) )

x-((2*46^(1/2)+12)/4) = 0 // + (2*46^(1/2)+12)/4

x = (2*46^(1/2)+12)/4

x in { (12-2*46^(1/2))/4, (2*46^(1/2)+12)/4 }

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