document.write( "Question 1076009: Can you please help me solve this equation: $\"+4sin%5E2%28x%29%2B7sin%28x%29=2+\"$ with the range of theta being between 0 and 2pi. I have gotten one answer, $\"+sin%28x%29=1%2F4+\"$ or $\"+x=sin%5E-1%281%2F4%29+\"$ , however it seems as though there's another one that I'm not able to find. Thank you! \n" ); document.write( "

Algebra.Com's Answer #690691 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Use a substitution,
\n" ); document.write( " $\"u=sin%28x%29\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"4u%5E2%2B7u-2=0\"$
\n" ); document.write( " $\"%28u%2B2%29%284u-1%29=0\"$
\n" ); document.write( "Two \"u\" solutions:
\n" ); document.write( " $\"u%2B2=0\"$
\n" ); document.write( " $\"u=-2\"$
\n" ); document.write( " $\"sin%28x%29=-2\"$
\n" ); document.write( "No x solution here.
\n" ); document.write( " $\"4u-1=0\"$
\n" ); document.write( " $\"4u=1\"$
\n" ); document.write( " $\"u=1%2F4\"$
\n" ); document.write( " $\"sin%28x%29=1%2F4\"$
\n" ); document.write( "There are two solutions here:
\n" ); document.write( " $\"x=14.5\"$ and $\"x=165.5\"$
\n" ); document.write( " \n" ); document.write( "

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