Megan, if I'm not mistaken that head unit won't be putting out 45w per channel. Instead I think its more like 45 watts total power going through 4 cannels so you are actually getting 11.25 watts per channel...but I may be wrong. In any case its highly unlikely that any head unit alone will blow your speakers.
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"Instead of getting married again, I'm going to find a woman I don't like and just give her a house."