solving equations involving fractions and decimals

Question

3/4 + 1/2b = -3b

Answer 1

3/4 + 1/2b = -3b multiply by 4b to eliminate the fractions

3b + 2 =-12b^2

12b^2 + 3b + 2 = 0 use the quadratic formula

b = -3/24 + or - (1/24)sqr(9-4(12)(2)

there is no real solution, just 2 imaginary solutions, so odds are you really meant

the problem to be:

3/4 + (1/2)b = -3b

multiply by 4 to eliminate the fractions

3 +2b =-12b

14b =-3

b =-3/14