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\frac{9}{16}-2\times \frac{3}{4}+m=0
Calculate \frac{3}{4} to the power of 2 and get \frac{9}{16}.
\frac{9}{16}-\frac{2\times 3}{4}+m=0
Express 2\times \frac{3}{4} as a single fraction.
\frac{9}{16}-\frac{6}{4}+m=0
Multiply 2 and 3 to get 6.
\frac{9}{16}-\frac{3}{2}+m=0
Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.
\frac{9}{16}-\frac{24}{16}+m=0
Least common multiple of 16 and 2 is 16. Convert \frac{9}{16} and \frac{3}{2} to fractions with denominator 16.
\frac{9-24}{16}+m=0
Since \frac{9}{16} and \frac{24}{16} have the same denominator, subtract them by subtracting their numerators.
-\frac{15}{16}+m=0
Subtract 24 from 9 to get -15.
m=\frac{15}{16}
Add \frac{15}{16} to both sides. Anything plus zero gives itself.