4x/5x-1=6x+5/7x+7

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Solution for 4x/5x-1=6x+5/7x+7 equation: 


x in (-oo:+oo)

((4*x)/5)*x-1 = 6*x+(5/7)*x+7 // - 6*x+(5/7)*x+7

((4*x)/5)*x-(6*x)-((5/7)*x)-7-1 = 0

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

4/5*x^2-47/7*x-8 = 0

DELTA = (-47/7)^2-(-8*4/5*4)

DELTA = 17317/245

DELTA > 0

x = ((17317/245)^(1/2)+47/7)/(4/5*2) or x = (47/7-(17317/245)^(1/2))/(4/5*2)

x = 5/8*((17317/245)^(1/2)+47/7) or x = 5/8*(47/7-(17317/245)^(1/2))

x in { 5/8*(47/7-(17317/245)^(1/2)), 5/8*((17317/245)^(1/2)+47/7) }

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