-1/9(x-27)+1/3(x+3)x-17

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Solution for -1/9(x-27)+1/3(x+3)x-17 equation:


x in (-oo:+oo)

(-1/9)*(x-27)+(1/3)*x*(x+3)-17 = 0

1/3*x*(x+3)-1/9*(x-27)-17 = 0

1/3*x*(x+3)-1/9*(x-27)-17 = 0

1/3*x^2+8/9*x-17+3 = 0

1/3*x^2+8/9*x-14 = 0

1/3*x^2+8/9*x-14 = 0

1/3*x^2+8/9*x-14 = 0

DELTA = (8/9)^2-(-14*1/3*4)

DELTA = 1576/81

DELTA > 0

x = ((1576/81)^(1/2)-8/9)/(1/3*2) or x = (-(1576/81)^(1/2)-8/9)/(1/3*2)

x = 3/2*((1576/81)^(1/2)-8/9) or x = -3/2*((1576/81)^(1/2)+8/9)

(x+3/2*((1576/81)^(1/2)+8/9))*(x-3/2*((1576/81)^(1/2)-8/9)) = 0

(x+3/2*((1576/81)^(1/2)+8/9))*(x-3/2*((1576/81)^(1/2)-8/9)) = 0

( x+3/2*((1576/81)^(1/2)+8/9) )

x+3/2*((1576/81)^(1/2)+8/9) = 0 // - 3/2*((1576/81)^(1/2)+8/9)

x = -(3/2*((1576/81)^(1/2)+8/9))

x = -3/2*((1576/81)^(1/2)+8/9)

( x-3/2*((1576/81)^(1/2)-8/9) )

x-3/2*((1576/81)^(1/2)-8/9) = 0 // + -3/2*((1576/81)^(1/2)-8/9)

x = -(-3/2*((1576/81)^(1/2)-8/9))

x = 3/2*((1576/81)^(1/2)-8/9)

x in { -3/2*((1576/81)^(1/2)+8/9), 3/2*((1576/81)^(1/2)-8/9) }

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