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m^2 + m -62 = -6\r
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\n" ); document.write( "\n" ); document.write( "First thing we want to do is get this into standard format:
\n" ); document.write( "m^2 + m -62 = -6 Add 6 to both sides:
\n" ); document.write( "m^2 + m -56 = 0
\n" ); document.write( "(m - )(m + ) = 0
\n" ); document.write( "We're looking for two factors of 56 that are only different by one.
\n" ); document.write( "7 x 8 = 56
\n" ); document.write( "(m + 8)(m - 7) = 0 FOIL: m^2 - 7m + 8m -56 = m^2 + m - 56 Yay!\r
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\n" ); document.write( "\n" ); document.write( "(m + 8) = 0
\n" ); document.write( "m = -8
\n" ); document.write( "(m - 7) = 0
\n" ); document.write( "m = 7\r
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\n" ); document.write( "\n" ); document.write( "Checking:
\n" ); document.write( "(-8)^2 + (-8) - 62 = -6
\n" ); document.write( "64 - 8 - 62 = -6
\n" ); document.write( "56-62 = -6
\n" ); document.write( "-6 = -6 Correct!
\n" ); document.write( "(7)^2 + (7) - 62 = -6
\n" ); document.write( "49 + 7 - 62 = -6
\n" ); document.write( "56 -62 = -6
\n" ); document.write( "-6 = -6 Correct!
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