x-5/4x+8(12x^2+32x+16)

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Solution for x-5/4x+8(12x^2+32x+16) equation:


x in (-oo:+oo)

8*(12*x^2+32*x+16)+x-((5/4)*x) = 0

8*(12*x^2+32*x+16)+x+(-5/4)*x = 0

8*(12*x^2+32*x+16)+x+(-5*x)/4 = 0

(4*8*(12*x^2+32*x+16))/4+(4*x)/4+(-5*x)/4 = 0

4*8*(12*x^2+32*x+16)+4*x-5*x = 0

384*x^2+1028*x-5*x+512 = 0

384*x^2+1023*x+512 = 0

384*x^2+1023*x+512 = 0

384*x^2+1023*x+512 = 0

DELTA = 1023^2-(4*384*512)

DELTA = 260097

DELTA > 0

x = (260097^(1/2)-1023)/(2*384) or x = (-260097^(1/2)-1023)/(2*384)

x = (260097^(1/2)-1023)/768 or x = (-(260097^(1/2)+1023))/768

(x+(260097^(1/2)+1023)/768)*(x-((260097^(1/2)-1023)/768)) = 0

((x+(260097^(1/2)+1023)/768)*(x-((260097^(1/2)-1023)/768)))/4 = 0

((x+(260097^(1/2)+1023)/768)*(x-((260097^(1/2)-1023)/768)))/4 = 0 // * 4

(x+(260097^(1/2)+1023)/768)*(x-((260097^(1/2)-1023)/768)) = 0

( x+(260097^(1/2)+1023)/768 )

x+(260097^(1/2)+1023)/768 = 0 // - (260097^(1/2)+1023)/768

x = -((260097^(1/2)+1023)/768)

( x-((260097^(1/2)-1023)/768) )

x-((260097^(1/2)-1023)/768) = 0 // + (260097^(1/2)-1023)/768

x = (260097^(1/2)-1023)/768

x in { -((260097^(1/2)+1023)/768), (260097^(1/2)-1023)/768 }

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