How to solve a rational equation by multiplying by the LCD

The video tutorial explains how to find the least common denominator (LCD) when dealing with fractions that have different denominators. It emphasizes the importance of identifying common factors and demonstrates the process of multiplying to eliminate denominators. The tutorial further simplifies the equation using the distributive property and solves for the variable X. The session concludes with a brief discussion on classroom arrangement.

What is the Least Common Denominator (LCD) of the denominators 2 and X + 2?

• 2

• 1

• X + 2

• 2 * X + 2

Why is it necessary to multiply every term by the LCD when solving an equation with fractions?

• To change the equation's solution

• To add more terms to the equation

• To eliminate the denominators and simplify the equation

• To make the equation more complex

What happens to the terms when you multiply them by the LCD in the equation?

• They simplify by canceling out common factors

• They double in value

• They become zero

• They remain unchanged

After simplifying the equation, what is the next step to solve for X?

• Multiply both sides by a new factor

• Combine like terms and isolate X

• Add more terms to both sides

• Divide both sides by zero

What is the final value of X in the equation discussed?

• -8/5

• 8/5

• -5/8

• 5/8