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((8)/(x-1)+((7x)/(x+1)))=7\r
\n" ); document.write( "\n" ); document.write( "Multiply each term by a factor of 1 that will equate all the denominators. In this case, all terms need a denominator of (x+1)(x-1). The (8)/((x-1)) expression needs to be multiplied by ((x+1))/((x+1)) to make the denominator (x+1)(x-1). The (7x)/((x+1)) expression needs to be multiplied by ((x-1))/((x-1)) to make the denominator (x+1)(x-1).
\n" ); document.write( "((8)/(x-1)*(x+1)/(x+1)+(7x)/(x+1)*(x-1)/(x-1))=7\r
\n" ); document.write( "\n" ); document.write( "Multiply the expression by a factor of 1 to create the least common denominator (LCD) of (x+1)(x-1).
\n" ); document.write( "((8(x+1))/((x+1)(x-1))+(7x)/(x+1)*(x-1)/(x-1))=7\r
\n" ); document.write( "\n" ); document.write( "Multiply the expression by a factor of 1 to create the least common denominator (LCD) of (x+1)(x-1).
\n" ); document.write( "((8(x+1))/((x+1)(x-1))+(7x(x-1))/((x+1)(x-1)))=7\r
\n" ); document.write( "\n" ); document.write( "The numerators of expressions that have equal denominators can be combined. In this case, (8(x+1))/((x+1)(x-1)) and ((7x(x-1)))/((x+1)(x-1)) have the same denominator of (x+1)(x-1), so the numerators can be combined.
\n" ); document.write( "((8(x+1)+(7x(x-1)))/((x+1)(x-1)))=7\r
\n" ); document.write( "\n" ); document.write( "Simplify the numerator of the expression.
\n" ); document.write( "((8x+8+7x^(2)-7x)/((x+1)(x-1)))=7\r
\n" ); document.write( "\n" ); document.write( "Since 8x and -7x are like terms, add -7x to 8x to get x.
\n" ); document.write( "((x+8+7x^(2))/((x+1)(x-1)))=7\r
\n" ); document.write( "\n" ); document.write( "Reorder the polynomial x+8+7x^(2) alphabetically from left to right, starting with the highest order term.
\n" ); document.write( "((7x^(2)+x+8)/((x+1)(x-1)))=7\r
\n" ); document.write( "\n" ); document.write( "Remove the parentheses around the expression ((7x^(2)+x+8))/((x+1)(x-1)).
\n" ); document.write( "(7x^(2)+x+8)/((x+1)(x-1))=7\r
\n" ); document.write( "\n" ); document.write( "Since the variable is in the denominator on the left-hand side of the equation, this can be solved as a ratio. For example, (A)/(B)=C is equivalent to (A)/(C)=B.
\n" ); document.write( "(7x^(2)+x+8)/(7)=(x+1)(x-1)\r
\n" ); document.write( "\n" ); document.write( "Find the LCD (least common denominator) of ((7x^(2)+x+8))/(7)+(x+1)(x-1).
\n" ); document.write( "Least common denominator: 7\r
\n" ); document.write( "\n" ); document.write( "Multiply each term in the equation by 7 in order to remove all the denominators from the equation.
\n" ); document.write( "(7x^(2)+x+8)/(7)*7=(x+1)(x-1)*7\r
\n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the equation by canceling the common factors.
\n" ); document.write( "7x^(2)+x+8=(x+1)(x-1)*7\r
\n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the equation by multiplying out all the terms.
\n" ); document.write( "7x^(2)+x+8=7x^(2)-7\r
\n" ); document.write( "\n" ); document.write( "Since 7x^(2) contains the variable to solve for, move it to the left-hand side of the equation by subtracting 7x^(2) from both sides.
\n" ); document.write( "7x^(2)+x+8-7x^(2)=-7\r
\n" ); document.write( "\n" ); document.write( "Since 7x^(2) and -7x^(2) are like terms, add -7x^(2) to 7x^(2) to get 0.
\n" ); document.write( "0+x+8=-7\r
\n" ); document.write( "\n" ); document.write( "Combine all similar terms in the polynomial 7x^(2)+x+8-7x^(2).
\n" ); document.write( "x+8=-7\r
\n" ); document.write( "\n" ); document.write( "Since 8 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 8 from both sides.
\n" ); document.write( "x=-8-7\r
\n" ); document.write( "\n" ); document.write( "Subtract 7 from -8 to get -15.
\n" ); document.write( "x=-15 \n" ); document.write( "