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Solve for x: X/2 = 3x+4 2x

User Lanier
by
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1 Answer

4 votes

the given expression is,


(x)/(2)=(3x+4)/(2x)
\begin{gathered} 2x^2=6x+8 \\ 2x^2-6x-8=0 \end{gathered}
2x^2-8x+2x-8=0
\begin{gathered} 2x(x-4)+2(x-4)=0 \\ (x-4)(2x+2)=0 \end{gathered}

x-4 = 0

x = 4

2x + 2 = 0

2x = -2

x = -2/2

x = -1

thus, the answer is x = 4 , - 1

User Alex Timonin
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4.0k points