Solve a quadratic by factoring out GCF

The video tutorial explains how to solve a quadratic equation by factoring and applying the Zero Product Property. It begins with setting the equation to zero and factoring out common terms. The tutorial emphasizes careful handling of fractions and demonstrates how to solve for X by converting whole numbers to fractions and using reciprocals. The final solution is presented as X = 0 and X = 4/25.

What is the first step in solving the given equation?

• Subtract 5 from both sides

• Multiply both sides by 5

• Set the equation equal to zero

• Add 4/5 to both sides

When factoring out a common element, what should you be cautious about?

• Ensuring the factor is in the denominator

• Multiplying by zero

• Dividing by zero

• The factor being in both the numerator and denominator

What is the result of dividing 4/5 by 5?

• 5/4

• 4/25

• 1/5

• 4/5

How do you solve for x when you have a fraction divided by a whole number?

• Subtract the whole number from the fraction

• Multiply the fraction by the reciprocal of the whole number

• Add the whole number to the fraction

• Divide the fraction by the whole number

What are the solutions for x in the equation?

• x = 4/25 and x = 0

• x = 5/4 and x = 0

• x = 4/5 and x = 0

• x = 25/4 and x = 0