x-(7-8x)/9x-(3+4x)=2/3

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Solution for x-(7-8x)/9x-(3+4x)=2/3 equation:


x in (-oo:+oo)

x-(x*((7-(8*x))/9))-(4*x)-3 = 2/3 // - 2/3

x-(x*((7-(8*x))/9))-(4*x)-(2/3)-3 = 0

x-(x*((7-8*x)/9))-4*x-2/3-3 = 0

(-1*x*(7-8*x))/9+x-4*x-2/3-3 = 0

(-1*3*x*(7-8*x))/(3*9)+(3*9*x)/(3*9)+(-4*3*9*x)/(3*9)+(-2*9)/(3*9)+(-3*3*9)/(3*9) = 0

3*9*x-1*3*x*(7-8*x)-4*3*9*x-2*9-3*3*9 = 0

24*x^2+6*x-108*x-81-18 = 0

24*x^2-102*x-81-18 = 0

24*x^2-102*x-99 = 0

24*x^2-102*x-99 = 0

3*(8*x^2-34*x-33) = 0

8*x^2-34*x-33 = 0

DELTA = (-34)^2-(-33*4*8)

DELTA = 2212

DELTA > 0

x = (2212^(1/2)+34)/(2*8) or x = (34-2212^(1/2))/(2*8)

x = (2*553^(1/2)+34)/16 or x = (34-2*553^(1/2))/16

3*(x-((34-2*553^(1/2))/16))*(x-((2*553^(1/2)+34)/16)) = 0

(3*(x-((34-2*553^(1/2))/16))*(x-((2*553^(1/2)+34)/16)))/(3*9) = 0

(3*(x-((34-2*553^(1/2))/16))*(x-((2*553^(1/2)+34)/16)))/(3*9) = 0 // * 3*9

3*(x-((34-2*553^(1/2))/16))*(x-((2*553^(1/2)+34)/16)) = 0

( x-((2*553^(1/2)+34)/16) )

x-((2*553^(1/2)+34)/16) = 0 // + (2*553^(1/2)+34)/16

x = (2*553^(1/2)+34)/16

( x-((34-2*553^(1/2))/16) )

x-((34-2*553^(1/2))/16) = 0 // + (34-2*553^(1/2))/16

x = (34-2*553^(1/2))/16

x in { (2*553^(1/2)+34)/16, (34-2*553^(1/2))/16 }

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