2/3(x-9)1/3x=7x-15

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Solution for 2/3(x-9)1/3x=7x-15 equation: 


x in (-oo:+oo)

x*(((2/3)*(x-9)^1)/3) = 7*x-15 // - 7*x-15

x*(((2/3)*(x-9)^1)/3)-(7*x)+15 = 0

x*(((2/3)*(x-9))/3)-7*x+15 = 0

(2/3*x*(x-9))/3-7*x+15 = 0

(2/3*x*(x-9))/3+(-7*3*x)/3+(3*15)/3 = 0

2/3*x*(x-9)-7*3*x+3*15 = 0

2/3*x^2-27*x+45 = 0

2/3*x^2-27*x+45 = 0

2/3*x^2-27*x+45 = 0

DELTA = (-27)^2-(2/3*4*45)

DELTA = 609

DELTA > 0

x = (609^(1/2)+27)/(2/3*2) or x = (27-609^(1/2))/(2/3*2)

x = 3/4*(609^(1/2)+27) or x = 3/4*(27-609^(1/2))

(x-3/4*(27-609^(1/2)))*(x-3/4*(609^(1/2)+27)) = 0

((x-3/4*(27-609^(1/2)))*(x-3/4*(609^(1/2)+27)))/3 = 0

((x-3/4*(27-609^(1/2)))*(x-3/4*(609^(1/2)+27)))/3 = 0 // * 3

(x-3/4*(27-609^(1/2)))*(x-3/4*(609^(1/2)+27)) = 0

( x-3/4*(27-609^(1/2)) )

x-3/4*(27-609^(1/2)) = 0 // + -3/4*(27-609^(1/2))

x = -(-3/4*(27-609^(1/2)))

x = 3/4*(27-609^(1/2))

( x-3/4*(609^(1/2)+27) )

x-3/4*(609^(1/2)+27) = 0 // + -3/4*(609^(1/2)+27)

x = -(-3/4*(609^(1/2)+27))

x = 3/4*(609^(1/2)+27)

x in { 3/4*(27-609^(1/2)), 3/4*(609^(1/2)+27) }

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