Solve for f
f = -\frac{7}{4} = -1\frac{3}{4} = -1.75
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f\times 3=\left(f+1\right)\times 7
Variable f cannot be equal to any of the values -1,0 since division by zero is not defined. Multiply both sides of the equation by f\left(f+1\right), the least common multiple of f+1,f.
f\times 3=7f+7
Use the distributive property to multiply f+1 by 7.
f\times 3-7f=7
Subtract 7f from both sides.
-4f=7
Combine f\times 3 and -7f to get -4f.
f=\frac{7}{-4}
Divide both sides by -4.
f=-\frac{7}{4}
Fraction \frac{7}{-4} can be rewritten as -\frac{7}{4} by extracting the negative sign.
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