Solve for F_1
F_{1}=-\frac{1}{13698}+\frac{1}{1522x}
x\neq 0
Solve for x
x=\frac{9}{13698F_{1}+1}
F_{1}\neq -\frac{1}{13698}
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13698F_{1}x=9-x
Multiply both sides of the equation by x.
13698xF_{1}=9-x
The equation is in standard form.
\frac{13698xF_{1}}{13698x}=\frac{9-x}{13698x}
Divide both sides by 13698x.
F_{1}=\frac{9-x}{13698x}
Dividing by 13698x undoes the multiplication by 13698x.
F_{1}=-\frac{1}{13698}+\frac{1}{1522x}
Divide 9-x by 13698x.
13698F_{1}x=9-x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
13698F_{1}x+x=9
Add x to both sides.
\left(13698F_{1}+1\right)x=9
Combine all terms containing x.
\frac{\left(13698F_{1}+1\right)x}{13698F_{1}+1}=\frac{9}{13698F_{1}+1}
Divide both sides by 13698F_{1}+1.
x=\frac{9}{13698F_{1}+1}
Dividing by 13698F_{1}+1 undoes the multiplication by 13698F_{1}+1.
x=\frac{9}{13698F_{1}+1}\text{, }x\neq 0
Variable x cannot be equal to 0.
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