2-2(3x/5)=5x/5(x-8)

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Solution for 2-2(3x/5)=5x/5(x-8) equation:


x in (-oo:+oo)

2-(2*((3*x)/5)) = ((5*x)/5)*(x-8) // - ((5*x)/5)*(x-8)

2-(((5*x)/5)*(x-8))-(2*((3*x)/5)) = 0

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

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

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

2*5-1*5*x*(x-8)-6*x = 0

34*x-5*x^2+10 = 0

34*x-5*x^2+10 = 0

34*x-5*x^2+10 = 0

DELTA = 34^2-(-5*4*10)

DELTA = 1356

DELTA > 0

x = (1356^(1/2)-34)/(-5*2) or x = (-1356^(1/2)-34)/(-5*2)

x = (2*339^(1/2)-34)/(-10) or x = (-2*339^(1/2)-34)/(-10)

(x-((2*339^(1/2)-34)/(-10)))*(x-((-2*339^(1/2)-34)/(-10))) = 0

((x-((2*339^(1/2)-34)/(-10)))*(x-((-2*339^(1/2)-34)/(-10))))/5 = 0

((x-((2*339^(1/2)-34)/(-10)))*(x-((-2*339^(1/2)-34)/(-10))))/5 = 0 // * 5

(x-((2*339^(1/2)-34)/(-10)))*(x-((-2*339^(1/2)-34)/(-10))) = 0

( x-((-2*339^(1/2)-34)/(-10)) )

x-((-2*339^(1/2)-34)/(-10)) = 0 // + (-2*339^(1/2)-34)/(-10)

x = (-2*339^(1/2)-34)/(-10)

( x-((2*339^(1/2)-34)/(-10)) )

x-((2*339^(1/2)-34)/(-10)) = 0 // + (2*339^(1/2)-34)/(-10)

x = (2*339^(1/2)-34)/(-10)

x in { (-2*339^(1/2)-34)/(-10), (2*339^(1/2)-34)/(-10) }

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