Solve for K
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Solve for q
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q=\frac{K\times 2\times 9}{8}
Calculate 3 to the power of 2 and get 9.
q=\frac{K\times 18}{8}
Multiply 2 and 9 to get 18.
q=K\times \left(\frac{9}{4}\right)
Divide K\times 18 by 8 to get K\times \left(\frac{9}{4}\right).
K\times \left(\frac{9}{4}\right)=q
Swap sides so that all variable terms are on the left hand side.
\frac{9}{4}K=q
The equation is in standard form.
\frac{\frac{9}{4}K}{\frac{9}{4}}=\frac{q}{\frac{9}{4}}
Divide both sides of the equation by \frac{9}{4}, which is the same as multiplying both sides by the reciprocal of the fraction.
K=\frac{q}{\frac{9}{4}}
Dividing by \frac{9}{4} undoes the multiplication by \frac{9}{4}.
K=\frac{4q}{9}
Divide q by \frac{9}{4} by multiplying q by the reciprocal of \frac{9}{4}.
q=\frac{K\times 2\times 9}{8}
Calculate 3 to the power of 2 and get 9.
q=\frac{K\times 18}{8}
Multiply 2 and 9 to get 18.
q=K\times \left(\frac{9}{4}\right)
Divide K\times 18 by 8 to get K\times \left(\frac{9}{4}\right).