Solve for f
f=-3
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\left(f-5\right)\left(-6\right)=\left(f-9\right)\left(-4\right)
Variable f cannot be equal to any of the values 5,9 since division by zero is not defined. Multiply both sides of the equation by \left(f-9\right)\left(f-5\right), the least common multiple of f-9,f-5.
-6f+30=\left(f-9\right)\left(-4\right)
Use the distributive property to multiply f-5 by -6.
-6f+30=-4f+36
Use the distributive property to multiply f-9 by -4.
-6f+30+4f=36
Add 4f to both sides.
-2f+30=36
Combine -6f and 4f to get -2f.
-2f=36-30
Subtract 30 from both sides.
-2f=6
Subtract 30 from 36 to get 6.
f=\frac{6}{-2}
Divide both sides by -2.
f=-3
Divide 6 by -2 to get -3.
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