document.write( "Question 1096723: What are all the real values of x which satisfy the equation: $\"+%28x-7%29%28x%5E2-6x%2B4%29=-%28x-7%29+\"$ \n" ); document.write( "

Algebra.Com's Answer #711122 by rothauserc(4718) $\"\"$ $\"About$

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(x-7)(x^2-6x+4)=-(x-7)
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\n" ); document.write( "divide both sides of = by (x-7)
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\n" ); document.write( "x^2 -6x +4 = -1
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\n" ); document.write( "x^2 -6x +5 = 0
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\n" ); document.write( "(x-5) * (x-1) = 0
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\n" ); document.write( "x = 5 or 1
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\n" ); document.write( "x = 5
\n" ); document.write( "(5-7)(5^2 -6(5) +4) = -(5-7)
\n" ); document.write( "(-2)(25 -30 +4) = -(-2)
\n" ); document.write( "(-2)(-1) = 2
\n" ); document.write( "2 = 2
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\n" ); document.write( "x = 1
\n" ); document.write( "(1-7)(1^2 -6(1) +4) = -(1-7)
\n" ); document.write( "(-6)(1 -6 +4) = -(-6)
\n" ); document.write( "(-6)(-1) = 6
\n" ); document.write( "6 = 6
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