2x-(7-5x)/9x-(3+4x)=7/6

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Solution for 2x-(7-5x)/9x-(3+4x)=7/6 equation:


x in (-oo:+oo)

2*x-(x*((7-(5*x))/9))-(4*x)-3 = 7/6 // - 7/6

2*x-(x*((7-(5*x))/9))-(4*x)-(7/6)-3 = 0

2*x-(x*((7-5*x)/9))-4*x-7/6-3 = 0

(-1*x*(7-5*x))/9+2*x-4*x-7/6-3 = 0

(-1*6*x*(7-5*x))/(6*9)+(2*6*9*x)/(6*9)+(-4*6*9*x)/(6*9)+(-7*9)/(6*9)+(-3*6*9)/(6*9) = 0

2*6*9*x-1*6*x*(7-5*x)-4*6*9*x-7*9-3*6*9 = 0

30*x^2+66*x-216*x-162-63 = 0

30*x^2-150*x-162-63 = 0

30*x^2-150*x-225 = 0

30*x^2-150*x-225 = 0

15*(2*x^2-10*x-15) = 0

2*x^2-10*x-15 = 0

DELTA = (-10)^2-(-15*2*4)

DELTA = 220

DELTA > 0

x = (220^(1/2)+10)/(2*2) or x = (10-220^(1/2))/(2*2)

x = (2*55^(1/2)+10)/4 or x = (10-2*55^(1/2))/4

15*(x-((10-2*55^(1/2))/4))*(x-((2*55^(1/2)+10)/4)) = 0

(15*(x-((10-2*55^(1/2))/4))*(x-((2*55^(1/2)+10)/4)))/(6*9) = 0

(15*(x-((10-2*55^(1/2))/4))*(x-((2*55^(1/2)+10)/4)))/(6*9) = 0 // * 6*9

15*(x-((10-2*55^(1/2))/4))*(x-((2*55^(1/2)+10)/4)) = 0

( x-((10-2*55^(1/2))/4) )

x-((10-2*55^(1/2))/4) = 0 // + (10-2*55^(1/2))/4

x = (10-2*55^(1/2))/4

( x-((2*55^(1/2)+10)/4) )

x-((2*55^(1/2)+10)/4) = 0 // + (2*55^(1/2)+10)/4

x = (2*55^(1/2)+10)/4

x in { (10-2*55^(1/2))/4, (2*55^(1/2)+10)/4 }

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