document.write( "Question 65063: How do you solve for x in the following equation: (2*x^6)*((x-4)^2)*((x-1)^2)=0 \n" ); document.write( "
Algebra.Com's Answer #45589 by funmath(2933)\"\" \"About 
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How do you solve for x in the following equation: (2*x^6)*((x-4)^2)*((x-1)^2)=0
\n" ); document.write( "The zero product property says that we can set each factor = to 0 and solve for x.
\n" ); document.write( "2x^6=0
\n" ); document.write( "(2x^6)/2=0/2
\n" ); document.write( "x^6=0
\n" ); document.write( "6th root (x^6)= 6th root (0)
\n" ); document.write( "\"highlight%28x=0%29\"
\n" ); document.write( "(x-4)^2=0
\n" ); document.write( "sqrt(x-4)^2=sqrt(0)
\n" ); document.write( "x-4=0
\n" ); document.write( "x-4+4=0+4
\n" ); document.write( "\"highlight%28x=4%29\"
\n" ); document.write( "(x-1)^2=0
\n" ); document.write( "sqrt(x-1)^2=sqrt(0)
\n" ); document.write( "x-1=0
\n" ); document.write( "x-1+1=0+1
\n" ); document.write( "\"highlight%28x=1%29\"
\n" ); document.write( "Therefore the solution set for x is x={0,1,4}
\n" ); document.write( "Check if you let x= 0,1, or 4 both sides of the equation will =0 because 0 times anything is 0.
\n" ); document.write( "Happy Calculating!!!
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