q^2-4q+6=(q^2/3)-2q+6

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Solution for q^2-4q+6=(q^2/3)-2q+6 equation:


q in (-oo:+oo)

q^2-(4*q)+6 = (q^2)/3-(2*q)+6 // - (q^2)/3-(2*q)+6

q^2-((q^2)/3)-(4*q)+2*q-6+6 = 0

q^2-((q^2)/3)-4*q+2*q-6+6 = 0

2/3*q^2-2*q = 0

DELTA = (-2)^2-(0*2/3*4)

DELTA = 4

DELTA > 0

q = (4^(1/2)+2)/(2/3*2) or q = (2-4^(1/2))/(2/3*2)

q = 3 or q = 0

q in { 0, 3 }

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