document.write( "Question 1133977: solve for x
\n" ); document.write( "sin(-4x)sin(-2x)=0
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Algebra.Com's Answer #751240 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( " $\"sin%28-4x%29sin%28-2x%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( "Solving each part separately:\r
\n" ); document.write( "\n" ); document.write( " $\"sin%28-4x%29=0\"$ ......use the period $\"2pi%2An\"$ to find the full set of all solutions, \r
\n" ); document.write( "\n" ); document.write( "assuming $\"n=1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"-4x=0%2B2pi%2An\"$ => $\"x=0%2F-4%2B%282pi%2An%29%2F-4\"$ => $\"x=-%28pi%2An%29%2F2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"-4x=pi+%2B2pi%2An\"$ => $\"x=pi%2F-4%2B%282pi%2An%29%2F-4\"$ => $\"x=-pi%2F4-%28pi%2An%29%2F2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"sin%28-2x%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"-2x=0%2B2pi%2An\"$ => $\"x=0%2F-2%2B%282pi%2An%29%2F-2\"$ => $\"x=-pi%2An+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"-2x=pi+%2B2pi%2An\"$ => $\"x=pi%2F-2%2B%282pi%2An%29%2F-2\"$ => $\"x=-pi%2F2-pi%2An\"$ \r
\n" ); document.write( "\n" ); document.write( "if $\"n=0\"$ => $\"x=0\"$ in both cases\r
\n" ); document.write( "\n" ); document.write( "Combine all the solutions:\r
\n" ); document.write( "\n" ); document.write( " $\"x=-%28pi%2An%29%2F2\"$ , $\"x=-pi%2F4-%28pi%2An%29%2F2\"$ , $\"x=-pi%2An\"$ , $\"x=-pi%2F2-pi%2An\"$ , $\"x=0\"$ for any integer $\"n\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"+graph%28+600%2C+600%2C+-5%2C+5%2C+-5%2C+5%2Csin%28-4x%29sin%28-2x%29%29+\"$
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