((4x^2)/25)=(8/3-(2/3)x)

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Solution for ((4x^2)/25)=(8/3-(2/3)x) equation:


x in (-oo:+oo)

(4*x^2)/25 = 8/3-((2/3)*x) // - 8/3-((2/3)*x)

(4*x^2)/25+(2/3)*x-(8/3) = 0

(4*x^2)/25+(2/3)*x-8/3 = 0

4/25*x^2+2/3*x-8/3 = 0

DELTA = (2/3)^2-(-8/3*4/25*4)

DELTA = 484/225

DELTA > 0

x = ((484/225)^(1/2)-2/3)/(4/25*2) or x = (-(484/225)^(1/2)-2/3)/(4/25*2)

x = 5/2 or x = -20/3

x in { -20/3, 5/2 }

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