document.write( "Question 757206: Hello
\n" ); document.write( "I have absolutely struggled to find somewhere online that I can ask a question for free with no loopholes.
\n" ); document.write( "Perhaps you would be able to help me with my small problem …
\n" ); document.write( "I need to factorise the following quadratic
\n" ); document.write( "10sin^2 x (that is, 10 sin squared x) - 4sinx -5
\n" ); document.write( "I would really appreciate any help you could offer, as soon as possible.
\n" ); document.write( "Thanking you
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Algebra.Com's Answer #460699 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
\"10y%5E2-4y-5\" does not factorize into factors with rational coeficients.
\n" ); document.write( "\"10y%5E2-4y-5=0\" can be solved using the quadratic formula to find
\n" ); document.write( "\"y=%284%2B-+216%29%2F20=%282+%2B-+54%29%2F10\"
\n" ); document.write( "Since those results satisfy \"-1%3Cy%3C1\",
\n" ); document.write( "\"y=sin%28x%29\" <--> \"x=arcsin%28y%29\" would give you
\n" ); document.write( "\"x=arcsin%28%282+%2B-+54%29%2F10%29\" as the two solutions for
\n" ); document.write( "\"10%28sin%28x%29%29%5E2-4sin%28x%29-5=0\"
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\n" ); document.write( "On the other hand, since \"y%5E2-4y-5=%28y-5%29%28y%2B1%29\"
\n" ); document.write( "you can factorize \"%28sin%28x%29%29%5E2-4sin%28x%29-5\" as
\n" ); document.write( "\"%28sin%28x%29%29%5E2-4sin%28x%29-5=%28sin%28x%29-5%29%28sin%28x%29%2B1%29\"
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