Solve for 'c' in the Equation: f = (a-c)(b-d)/(ac-bd)

Published on August 24, 2024

Question

c=?

Answer

Let’s solve the equation for .
  1. Multiply both sides by the denominator:
    Begin by multiplying both sides of the equation by to get rid of the fraction:
  2. Expand both sides:
    Next, expand the products on both sides of the equation:
  3. Move all terms with ‘c’ to one side:
    Collect all the terms containing ‘c’ on the left side and move all other terms to the right side:
  4. Factor out ‘c’:
    Factor out the common factor ‘c’ from the terms on the left side:
  5. Isolate ‘c’:
    Finally, divide both sides by to isolate ‘c’:
Therefore, the solution for is:
🚀 Solve Math Now!