document.write( "Question 120242: solve for all values of x that satisfy the equation x/x+3=5/x+7
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Algebra.Com's Answer #854080 by MathTherapy(10801) $\"\"$ $\"About$

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document.write( "solve for all values of x that satisfy the equation x/x+3=5/x+7\r\n" );
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document.write( "The other person who responded saw the equation as: , and ended up with the x-value, . \r\n" );
document.write( "Most likely though, it's , with \r\n" );
document.write( "                                    x(x + 7) = 5(x + 3) ---- Cross-multiplying\r\n" );
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document.write( "                           (x - 3)(x + 5) = 0\r\n" );
document.write( "                                          x - 3 = 0       OR        x + 5 = 0 ----- Setting each FACTOR equal to 0\r\n" );
document.write( "                                                x = 3       OR               x = - 5\r\n" );
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document.write( "Both values for x make the equation true, they are neither - 3 nor - 7, and so, both are VALID/ACCEPTABLE!

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