(2p+7)-(6p+11)/6p+5=-10/23

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Solution for (2p+7)-(6p+11)/6p+5=-10/23 equation:


p in (-oo:+oo)

2*p-(p*((6*p+11)/6))+5+7 = -10/23 // + -10/23

2*p-(p*((6*p+11)/6))-(-10/23)+5+7 = 0

2*p-(p*((6*p+11)/6))+10/23+5+7 = 0

(-1*p*(6*p+11))/6+2*p+10/23+5+7 = 0

(-1*23*p*(6*p+11))/(6*23)+(2*6*23*p)/(6*23)+(6*10)/(6*23)+(5*6*23)/(6*23)+(6*7*23)/(6*23) = 0

2*6*23*p-1*23*p*(6*p+11)+6*10+5*6*23+6*7*23 = 0

23*p-138*p^2+60+690+966 = 0

23*p-138*p^2+750+966 = 0

23*p-138*p^2+1716 = 0

23*p-138*p^2+1716 = 0

23*p-138*p^2+1716 = 0

DELTA = 23^2-(-138*4*1716)

DELTA = 947761

DELTA > 0

p = (947761^(1/2)-23)/(-138*2) or p = (-947761^(1/2)-23)/(-138*2)

p = (947761^(1/2)-23)/(-276) or p = (947761^(1/2)+23)/276

(p-((947761^(1/2)-23)/(-276)))*(p-((947761^(1/2)+23)/276)) = 0

((p-((947761^(1/2)-23)/(-276)))*(p-((947761^(1/2)+23)/276)))/(6*23) = 0

((p-((947761^(1/2)-23)/(-276)))*(p-((947761^(1/2)+23)/276)))/(6*23) = 0 // * 6*23

(p-((947761^(1/2)-23)/(-276)))*(p-((947761^(1/2)+23)/276)) = 0

( p-((947761^(1/2)+23)/276) )

p-((947761^(1/2)+23)/276) = 0 // + (947761^(1/2)+23)/276

p = (947761^(1/2)+23)/276

( p-((947761^(1/2)-23)/(-276)) )

p-((947761^(1/2)-23)/(-276)) = 0 // + (947761^(1/2)-23)/(-276)

p = (947761^(1/2)-23)/(-276)

p in { (947761^(1/2)+23)/276, (947761^(1/2)-23)/(-276) }

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