(2x+3)-(5x-7)/6x+11=-8/3

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Solution for (2x+3)-(5x-7)/6x+11=-8/3 equation:


x in (-oo:+oo)

2*x-(x*((5*x-7)/6))+3+11 = -8/3 // + -8/3

2*x-(x*((5*x-7)/6))-(-8/3)+3+11 = 0

2*x-(x*((5*x-7)/6))+8/3+3+11 = 0

(-1*x*(5*x-7))/6+2*x+8/3+3+11 = 0

(-1*3*x*(5*x-7))/(3*6)+(2*3*6*x)/(3*6)+(6*8)/(3*6)+(6*3^2)/(3*6)+(3*6*11)/(3*6) = 0

2*3*6*x-1*3*x*(5*x-7)+6*8+6*3^2+3*6*11 = 0

57*x-15*x^2+48+54+198 = 0

57*x-15*x^2+102+198 = 0

57*x-15*x^2+300 = 0

57*x-15*x^2+300 = 0

3*(19*x-5*x^2+100) = 0

19*x-5*x^2+100 = 0

DELTA = 19^2-(-5*4*100)

DELTA = 2361

DELTA > 0

x = (2361^(1/2)-19)/(-5*2) or x = (-2361^(1/2)-19)/(-5*2)

x = (2361^(1/2)-19)/(-10) or x = (2361^(1/2)+19)/10

3*(x-((2361^(1/2)-19)/(-10)))*(x-((2361^(1/2)+19)/10)) = 0

(3*(x-((2361^(1/2)-19)/(-10)))*(x-((2361^(1/2)+19)/10)))/(3*6) = 0

(3*(x-((2361^(1/2)-19)/(-10)))*(x-((2361^(1/2)+19)/10)))/(3*6) = 0 // * 3*6

3*(x-((2361^(1/2)-19)/(-10)))*(x-((2361^(1/2)+19)/10)) = 0

( x-((2361^(1/2)+19)/10) )

x-((2361^(1/2)+19)/10) = 0 // + (2361^(1/2)+19)/10

x = (2361^(1/2)+19)/10

( x-((2361^(1/2)-19)/(-10)) )

x-((2361^(1/2)-19)/(-10)) = 0 // + (2361^(1/2)-19)/(-10)

x = (2361^(1/2)-19)/(-10)

x in { (2361^(1/2)+19)/10, (2361^(1/2)-19)/(-10) }

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