Solve rational equation with 1 real solution

The video tutorial covers the process of factoring expressions to find the least common denominator (LCD) without multiplying all denominators. It explains using the distributive property to simplify expressions and solve equations. The tutorial also highlights the importance of checking for extraneous solutions by ensuring that solutions do not make the denominator zero.

What is the purpose of factoring expressions in the context of finding the least common denominator?

• To avoid division by zero

• To eliminate variables

• To make the equation more complex

• To simplify the multiplication process

When multiplying expressions by the LCD, why is it important to use parentheses?

• To avoid writing too many terms

• To make the equation look neat

• To simplify the equation further

• To ensure the correct order of operations

What is the result of multiplying an expression by its LCD?

• The expression is simplified

• The expression is factored again

• The expression becomes more complex

• The expression remains unchanged

What should you check for after solving a simplified equation?

• If the solution is positive

• If the solution is less than one

• If the solution makes the denominator zero

• If the solution is a whole number

What are extraneous solutions?

• Solutions that are greater than zero

• Solutions that do not satisfy the original equation

• Solutions that are incorrect for the simplified equation

• Solutions that are correct for the original equation