Solve for x. 5/2x+3=4/x

asked Oct 2, 2019 227k views

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$\text{The domain:}\\2x+3\\eq0\ \vee\ x\\eq0\\\\D:x\in\mathbb{R}-\{-1.5,\ 0\}$

$(5)/(2x+3)=(4)/(x)\ \ \ |\text{cross multiply}\\\\5x=4(2x+3)\\\\5x=8x+12\ \ \ |-8x\\\\-3x=12\ \ \ \ |:(-3)\\\\x=-4\in D$

Answer: x = -4

Cristian Hantig answered Oct 7, 2019

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