8x/4+3/4x+2(x-3)^2/8-6x/2+4/2+1/4=(x-2)^2/4

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Solution for 8x/4+3/4x+2(x-3)^2/8-6x/2+4/2+1/4=(x-2)^2/4 equation:


x in (-oo:+oo)

(2*(x-3)^2)/8+(8*x)/4+(3/4)*x-((6*x)/2)+4/2+1/4 = ((x-2)^2)/4 // - ((x-2)^2)/4

(2*(x-3)^2)/8-(((x-2)^2)/4)+(8*x)/4+(3/4)*x-((6*x)/2)+4/2+1/4 = 0

(2*(x-3)^2)/8-(((x-2)^2)/4)+(8*x)/4+(3/4)*x-3*x+4/2+1/4 = 0

(2*(x-3)^2)/8+(-1*(x-2)^2)/4+2*x+(3*x)/4-3*x+1/4+2 = 0

(2*4*(x-3)^2)/(4*8)+(-1*8*(x-2)^2)/(4*8)+(2*4*8*x)/(4*8)+(3*8*x)/(4*8)+(-3*4*8*x)/(4*8)+(2*4*8)/(4*8)+(1*8)/(4*8) = 0

2*4*(x-3)^2-1*8*(x-2)^2+2*4*8*x+3*8*x-3*4*8*x+2*4*8+1*8 = 0

64*x-16*x+24*x-96*x+8+40+64 = 0

48*x+24*x-96*x+8+40+64 = 0

72*x-96*x+8+40+64 = 0

8-24*x+40+64 = 0

8-24*x+104 = 0

112-24*x = 0

(112-24*x)/(4*8) = 0

(112-24*x)/(4*8) = 0 // * 4*8

112-24*x = 0

112-24*x = 0 // - 112

-24*x = -112 // : -24

x = -112/(-24)

x = 14/3

x = 14/3

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