Free Algebra Tutorials!

Try the Free Math Solver or Scroll down to Tutorials!

 Depdendent Variable

 Number of equations to solve: 23456789
 Equ. #1:
 Equ. #2:

 Equ. #3:

 Equ. #4:

 Equ. #5:

 Equ. #6:

 Equ. #7:

 Equ. #8:

 Equ. #9:

 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

 Ineq. #7:

 Ineq. #8:

 Ineq. #9:

 Solve for:

 Please use this form if you would like to have this math solver on your website, free of charge. Name: Email: Your Website: Msg:

# Solving Equations Involving Rational Expressions

To solve an equation with rational expressions, we do not convert the rational expressions to ones with a common denominator. Instead, we multiply each side by the LCD to eliminate the denominators.

Example 1

An equation with two solutions

Solve Solution = x(x + 20)10 Multiply each side by x(x + 20). = x(x + 20)10 Distributive property (x + 20)200 + x(300) = (x2 + 20x)10 Simplify. 200x + 4000 + 300x = 10x2 + 200x 4000 + 300x = 10x2 Combine like terms. 400 + 30x = x2 Divide each side by 10. 0 = x2 - 30x - 400 0 = (x - 40)(x + 10) Factor. x - 40 = 0 or x + 10 = 0 Set each factor equal to 0. x = 40 or x = -10

Check these values in the original equation. The solution set is {-10, 40}.