Solve for Q
Q=\frac{45}{2X-1}
X\neq \frac{1}{2}
Solve for X
X=\frac{1}{2}+\frac{45}{2Q}
Q\neq 0
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Q\left(2X-1\right)=45
Multiply both sides of the equation by 3.
2QX-Q=45
Use the distributive property to multiply Q by 2X-1.
\left(2X-1\right)Q=45
Combine all terms containing Q.
\frac{\left(2X-1\right)Q}{2X-1}=\frac{45}{2X-1}
Divide both sides by 2X-1.
Q=\frac{45}{2X-1}
Dividing by 2X-1 undoes the multiplication by 2X-1.
Q\left(2X-1\right)=45
Multiply both sides of the equation by 3.
2QX-Q=45
Use the distributive property to multiply Q by 2X-1.
2QX=45+Q
Add Q to both sides.
2QX=Q+45
The equation is in standard form.
\frac{2QX}{2Q}=\frac{Q+45}{2Q}
Divide both sides by 2Q.
X=\frac{Q+45}{2Q}
Dividing by 2Q undoes the multiplication by 2Q.
X=\frac{1}{2}+\frac{45}{2Q}
Divide Q+45 by 2Q.
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