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Check whether the following are quadratic equations:
$(x – 3) (2x + 1) = x (x + 5)$
Given:
Given equation is $(x – 3) (2x + 1) = x (x + 5)$
To do:
We have to check whether the given equation is quadratic.
Solution:
The standard form of a quadratic equation is $ax^2+bx+c=0$.
$(x – 3) (2x + 1) = x (x + 5)$
$x(2x+1)-3(2x+1)=x(x)+x(5)$
$2x^2+x-6x-3=x^2+5x$
$2x^2-x^2-5x-5x-3=0$
$x^2-10x-3=0$ is of the form $ax^2+bx+c=0$
Therefore, $(x – 3) (2x + 1) = x (x + 5)$ is a quadratic equation. 
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