Solve the following quadratic equation: x/x+3 = 5/2x+6

asked Sep 24, 2022 215k views

5 votes

Solve the following quadratic equation:

x/x+3 = 5/2x+6

3.3k points

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1 vote

Answer:

$x=5/2, x=-3\\$

Explanation:

$x(2x+6)=5(x+3)\\2x^2+6x=5x+15\\2x^2+6x-5x-15=0\\2x^2+x-15=0\\2x^2+6x-5x-15=0\\2x(x+3)-5(x+3)=0\\(2x-5)(x+3)=0\\2x-5=0, x+3=0\\x=5/2, x=-3\\$

Steven Mohr answered Sep 29, 2022

2.9k points

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