SOLUTION: What is the solution set of the equation? (2x+4)/(x+2) = 2x/3 A. {3, -2} B. {-2} C. {3} D. {-3, 2}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: What is the solution set of the equation? (2x+4)/(x+2) = 2x/3 A. {3, -2} B. {-2} C. {3} D. {-3, 2}      Log On


   

Question 932617: What is the solution set of the equation?
(2x+4)/(x+2) = 2x/3
A. {3, -2}
B. {-2}
C. {3}
D. {-3, 2}
Found 2 solutions by ewatrrr, MathLover1:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
%282x%2B4%29%2F%28x%2B2%29+=+2x%2F3+
3(2x+4) = 2x(x+2)
6x + 12 = 2x^2 + 4x
2x^2 - 2x - 12 = 0
x^2 - x - 6 = 0
(x+2)(x-3) = 0
x is {-2,3}

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

%282x%2B4%29%2F%28x%2B2%29+=+2x%2F3

3%282x%2B4%29+=+2x%28x%2B2%29
6x%2B12+=+2x%5E2%2B4x
0=+2x%5E2%2B4x-6x-12+
2x%5E2-2x-12+=0...use quadratic formula
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-%28-2%29+%2B-+sqrt%28+%28-2%29%5E2-4%2A2%2A%28-12%29+%29%29%2F%282%2A2%29+
x+=+%282+%2B-+sqrt%284%2B96+%29%29%2F4+
x+=+%282+%2B-+sqrt%28100%29%29%2F4+
x+=+%282+%2B-+10%29%2F4+
solutions:
x+=+%282+%2B+10%29%2F4+
x+=+12%2F4+
x+=3+
or
x+=+%282+-10%29%2F4+
x+=+-8%2F4+
x+=-2+

so, your answer is:
A. 3, -2