4x^2/3=4x-2

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Solution for 4x^2/3=4x-2 equation:


x in (-oo:+oo)

(4*x^2)/3 = 4*x-2 // - 4*x-2

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

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

4/3*x^2-4*x+2 = 0

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

DELTA = 16/3

DELTA > 0

x = ((16/3)^(1/2)+4)/(4/3*2) or x = (4-(16/3)^(1/2))/(4/3*2)

x = 3/8*((16/3)^(1/2)+4) or x = 3/8*(4-(16/3)^(1/2))

x in { 3/8*(4-(16/3)^(1/2)), 3/8*((16/3)^(1/2)+4) }

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