SOLUTION: Please help stuck with this one for hours.I need to know if I am performing this operation correctly. Thank you very much. Find all real or imaginary solution to the equation.

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Question 61089This question is from textbook
: Please help stuck with this one for hours.I need to know if I am performing this operation correctly. Thank you very much.
Find all real or imaginary solution to the equation.
6x=-(19x+25)/(x+1)
(6x)(x+1)=-19x-25
6x^2+6x+19x+25=-19x-25+19x+25
6x^2+25x+25=0
My answers is -5/3 and -5/2 This question is from textbook

Answer by funmath(2933) (Show Source):
You can put this solution on YOUR website!

Find all real or imaginary solution to the equation.
6x=-(19x+25)/(x+1)
(6x)(x+1)=-19x-25
6x^2+6x+19x+25=-19x-25+19x+25
6x^2+25x+25=0
:
6x^2+10x+15x+25=0
(6x^2+10x)+(15x+25)=0
2x(3x+5)+5(3x+5)=0
(2x+5)(3x+5)=0
2x+5=0 and 3x+5=0
2x=-5 and 3x=-5
x=-5/2 and x=-5/3
You're right!!!
Keep up the good work!
Happy Calculating!!!