### Home > INT3 > Chapter 10 > Lesson 10.1.4 > Problem 10-60

10-60.

Solve each equation below for

*x*. Show all of your work. (Assume denominators of zero are already excluded.) Homework Help ✎*cx*–*a*=*b*–*b*^{2}=*c*(

*x*–*a*)(*x*–*b*) = 0*ax*^{3}–*acx*^{2}= 0=+ a *b*

*x* = *ab*^{2} + *ac*

*x* = *a*, *b*

Factor and use the Zero Product Property.

Multiply both sides by the common denominator, *c*(*a* + *b*).

Subtract *a* from both sides and then multiply both sides by *x*^{3}.

Isolate and solve for *x*.