5/3*(2*x-3)*(x+1)-10*x

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Solution for 5/3*(2*x-3)*(x+1)-10*x equation: 


x in (-oo:+oo)

(5/3)*(2*x-3)*(x+1)-(10*x) = 0

(5/3)*(2*x-3)*(x+1)-10*x = 0

5/3*(2*x-3)*(x+1)-10*x = 0

5/3*(2*x-3)*(x+1)-10*x = 0

10/3*x^2-35/3*x-5 = 0

10/3*x^2-35/3*x-5 = 0

5*(2/3*x^2-7/3*x-1) = 0

2/3*x^2-7/3*x-1 = 0

DELTA = (-7/3)^2-(-1*2/3*4)

DELTA = 73/9

DELTA > 0

x = ((73/9)^(1/2)+7/3)/(2/3*2) or x = (7/3-(73/9)^(1/2))/(2/3*2)

x = 3/4*((73/9)^(1/2)+7/3) or x = 3/4*(7/3-(73/9)^(1/2))

5*(x-3/4*(7/3-(73/9)^(1/2)))*(x-3/4*((73/9)^(1/2)+7/3)) = 0

5*(x-3/4*(7/3-(73/9)^(1/2)))*(x-3/4*((73/9)^(1/2)+7/3)) = 0

( x-3/4*((73/9)^(1/2)+7/3) )

x-3/4*((73/9)^(1/2)+7/3) = 0 // + -3/4*((73/9)^(1/2)+7/3)

x = -(-3/4*((73/9)^(1/2)+7/3))

x = 3/4*((73/9)^(1/2)+7/3)

( x-3/4*(7/3-(73/9)^(1/2)) )

x-3/4*(7/3-(73/9)^(1/2)) = 0 // + -3/4*(7/3-(73/9)^(1/2))

x = -(-3/4*(7/3-(73/9)^(1/2)))

x = 3/4*(7/3-(73/9)^(1/2))

x in { 3/4*((73/9)^(1/2)+7/3), 3/4*(7/3-(73/9)^(1/2)) }

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