document.write( "Question 971174: I understand that this problem, x^2=8x-16 should be written like this:
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document.write( "x^2-8x+16=0.
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document.write( "But how do i solve this: x^2+12x=3x-18 \n" );
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Algebra.Com's Answer #593722 by josh_jordan(263)![]() ![]() You can put this solution on YOUR website! First thing you need to to is get everything on one side of the equal sign and put a zero on the other side. So,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2 + 12x = 3x - 18\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "First, subtract 3x from both sides, giving us:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2 + 12x - 3x = 3x - 3x - 18 -----> x^2 + 9x = -18\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Next, add 18 to both sides:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2 + 9x + 18 = 18 - 18 -----> x^2 + 9x + 18 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, factor the left side of the equation, giving us\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x + 6)(x + 3) = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Set each set of parenthesis equal to 0:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 6 = 0 \n" ); document.write( "x + 3 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solve each for x:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = -6 \n" ); document.write( "x = -3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, x = -6 and -3 \n" ); document.write( " |