SOLUTION: Solve equation. b/4+1/b=-5/3

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Question 146881This question is from textbook Glencoe Algebra 1
: Solve equation.
b/4+1/b=-5/3 This question is from textbook Glencoe Algebra 1

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
b%2F4%2B1%2Fb=-5%2F3 Start with the given equation


12b%28b%2Fcross%284%29%29%2B12cross%28b%29%281%2Fcross%28b%29%29=12b%28-5%2Fcross%283%29%29 Multiply every term by the LCD 12b to clear the fractions.


3b%5E2%2B12=-20b Multiply and simplify


3b%5E2%2B12%2B20b=0 Add 20b to both sides


3b%5E2%2B20b%2B12=0 Rearrange the terms.


%28b%2B6%29%283b%2B2%29=0 Factor the left side (note: if you need help with factoring, check out this solver)



Now set each factor equal to zero:

b%2B6=0 or 3b%2B2=0

b=-6 or b=-2%2F3 Now solve for b in each case


So our answers are

b=-6 or b=-2%2F3