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Firstly, we want to gather similar terms. This means that we want to rearrange the equation so that all the x terms are on one side of the = sign and all the constants (the "ordinary" numbers) are ...

Let n be an odd integer. This means that n is 1 more than an even integer. By definition, even integers are multiples of 2 so all even integers can be written in the form 2m where m is an integer. Therefore,...

Firstly, the equation should be rearranged to get all the non-zero terms onto one side, with the simplest way of doing this being subtracting 12 from both sides, giving the equation x 2 - x - 12 < 0. Then...

The Taming of the Shrew is set in Italy in the late 1500s, and suggests that women should be mild-mannered, and obedient to their husbands. In the play, Shakespeare contrasts the two main female characters, ...

First you should express this in the correct format using the integral sign. We need to find the integral with respect to x so include dx in the equation before integrating. To integrate we add one to the po...