### Home > A2C > Chapter 11 > Lesson 11.2.1 > Problem 11-41

11-41.

Solve each equation below for

*x*. Show all of your work. (Your answers will contain the variables*a*,*b*, and/or*c*.) Homework Help ✎*cx − a*=*b*(

*x*−*a*)(*x*−*b*) = 0*ax*^{2}−*acx*= 0

*x* = *a* or *x* = *b*

Multiply both sides by *c*(*a* + *b*).

*x* = *ab* + *ac*

Factor and use the Zero Product Property.

Subtract *a* from both sides and take the reciprocal of both sides.