Solving a rational equation by not using cross multiplication

The video tutorial explains how to solve equations by first determining the least common denominator (LCD) to eliminate fractions. It then demonstrates simplifying equations using factoring and the FOIL method. Finally, it covers solving quadratic equations by factoring, emphasizing the importance of finding numbers that multiply to a specific product and add to a specific sum. The tutorial concludes by verifying solutions against constraints.

What is the purpose of determining the Least Common Denominator (LCD) in an equation?

• To add fractions together

• To eliminate fractions from the equation

• To divide fractions

• To multiply fractions

Which method is used to simplify the expression by distributing terms?

• Quadratic formula

• Substitution

• FOIL method

• Cross-multiplication

What is the result of combining like terms in the equation: -2X - 2 = X^2 - 9X + 8?

• X^2 - 9X + 10

• X^2 - 7X + 8

• X^2 - 7X + 10

• X^2 - 8X + 6

Which two numbers multiply to give 10 and add to give -7 in the quadratic equation?

• 2 and 5

• -2 and -5

• 3 and 4

• -3 and -4

What are the solutions for the equation 0 = (X - 5)(X - 2)?

• X = 5 and X = -2

• X = -5 and X = -2

• X = 5 and X = 2

• X = -5 and X = 2