Solve for q
q=4
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q\left(-1\right)=\left(q-5\right)\times 4
Variable q cannot be equal to any of the values 0,5 since division by zero is not defined. Multiply both sides of the equation by q\left(q-5\right), the least common multiple of q-5,q.
q\left(-1\right)=4q-20
Use the distributive property to multiply q-5 by 4.
q\left(-1\right)-4q=-20
Subtract 4q from both sides.
-5q=-20
Combine q\left(-1\right) and -4q to get -5q.
q=\frac{-20}{-5}
Divide both sides by -5.
q=4
Divide -20 by -5 to get 4.
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