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Solve for E
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Solve for d
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Ed=\frac{28}{100}\times \frac{7-10}{3.3-2.8}
Expand \frac{2.8}{10} by multiplying both numerator and the denominator by 10.
Ed=\frac{7}{25}\times \frac{7-10}{3.3-2.8}
Reduce the fraction \frac{28}{100} to lowest terms by extracting and canceling out 4.
Ed=\frac{7}{25}\times \frac{-3}{3.3-2.8}
Subtract 10 from 7 to get -3.
Ed=\frac{7}{25}\times \frac{-3}{0.5}
Subtract 2.8 from 3.3 to get 0.5.
Ed=\frac{7}{25}\times \frac{-30}{5}
Expand \frac{-3}{0.5} by multiplying both numerator and the denominator by 10.
Ed=\frac{7}{25}\left(-6\right)
Divide -30 by 5 to get -6.
Ed=-\frac{42}{25}
Multiply \frac{7}{25} and -6 to get -\frac{42}{25}.
dE=-\frac{42}{25}
The equation is in standard form.
\frac{dE}{d}=-\frac{\frac{42}{25}}{d}
Divide both sides by d.
E=-\frac{\frac{42}{25}}{d}
Dividing by d undoes the multiplication by d.
E=-\frac{42}{25d}
Divide -\frac{42}{25} by d.
Ed=\frac{28}{100}\times \frac{7-10}{3.3-2.8}
Expand \frac{2.8}{10} by multiplying both numerator and the denominator by 10.
Ed=\frac{7}{25}\times \frac{7-10}{3.3-2.8}
Reduce the fraction \frac{28}{100} to lowest terms by extracting and canceling out 4.
Ed=\frac{7}{25}\times \frac{-3}{3.3-2.8}
Subtract 10 from 7 to get -3.
Ed=\frac{7}{25}\times \frac{-3}{0.5}
Subtract 2.8 from 3.3 to get 0.5.
Ed=\frac{7}{25}\times \frac{-30}{5}
Expand \frac{-3}{0.5} by multiplying both numerator and the denominator by 10.
Ed=\frac{7}{25}\left(-6\right)
Divide -30 by 5 to get -6.
Ed=-\frac{42}{25}
Multiply \frac{7}{25} and -6 to get -\frac{42}{25}.
\frac{Ed}{E}=-\frac{\frac{42}{25}}{E}
Divide both sides by E.
d=-\frac{\frac{42}{25}}{E}
Dividing by E undoes the multiplication by E.
d=-\frac{42}{25E}
Divide -\frac{42}{25} by E.