document.write( "Question 1172888: Solve the equation by factoring.\r
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document.write( "25x squared + 30x + 8 = 0\r
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Algebra.Com's Answer #798044 by ikleyn(52776)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "Introduce new variable u = 5x.\r\n" ); document.write( "\r\n" ); document.write( "Then the equation takes the form\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " u^2 + 6u + 8 = 0.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Factor it mentally in 1 second\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " (u + 4)*(u + 2) = 0\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The roots are u= -4 and u= -2.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Hence, the roots of the original equations are\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " a) 5x = -4, x =\r \n" ); document.write( "\n" ); document.write( "Solved // mentally.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |