20=(2x+14)/16x

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Solution for 20=(2x+14)/16x equation:


x in (-oo:+oo)

20 = x*((2*x+14)/16) // - x*((2*x+14)/16)

20-(x*((2*x+14)/16)) = 0

(-1*x*(2*x+14))/16+20 = 0

(-1*x*(2*x+14))/16+(16*20)/16 = 0

16*20-1*x*(2*x+14) = 0

320-2*x^2-14*x = 0

320-2*x^2-14*x = 0

2*(160-x^2-7*x) = 0

160-x^2-7*x = 0

DELTA = (-7)^2-(-1*4*160)

DELTA = 689

DELTA > 0

x = (689^(1/2)+7)/(-1*2) or x = (7-689^(1/2))/(-1*2)

x = (689^(1/2)+7)/(-2) or x = (7-689^(1/2))/(-2)

2*(x-((689^(1/2)+7)/(-2)))*(x-((7-689^(1/2))/(-2))) = 0

(2*(x-((689^(1/2)+7)/(-2)))*(x-((7-689^(1/2))/(-2))))/16 = 0

(2*(x-((689^(1/2)+7)/(-2)))*(x-((7-689^(1/2))/(-2))))/16 = 0 // * 16

2*(x-((689^(1/2)+7)/(-2)))*(x-((7-689^(1/2))/(-2))) = 0

( x-((689^(1/2)+7)/(-2)) )

x-((689^(1/2)+7)/(-2)) = 0 // + (689^(1/2)+7)/(-2)

x = (689^(1/2)+7)/(-2)

( x-((7-689^(1/2))/(-2)) )

x-((7-689^(1/2))/(-2)) = 0 // + (7-689^(1/2))/(-2)

x = (7-689^(1/2))/(-2)

x in { (689^(1/2)+7)/(-2), (7-689^(1/2))/(-2) }

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