How do you solve #3x+12/(x+4) =5/3#?

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Answer 1 · 2017-01-14T20:01:11

#x_1= -0.63#

#x_2 = -2.81#

#3x + 12/(x+4) = 5/3#

Multiply both sides by #3# and #(x+4)#

#9x(x+4) + 36 = 5(x+4)#

Expand the brackets

#9x^2 + 36x +36 = 5x + 20#

Collect all like terms

#9x^2 + 31x + 16 = 0#

#x= (-31+-sqrt(31^2 - 4(9)(16)))/(2xx9)#

#x_1= -0.63#

#x_2 = -2.81#