How do you solve a quadratic by factoring out the GCF

The video tutorial explains how to solve a quadratic equation by factoring. It begins with an introduction to the equation, highlighting the quadratic and linear terms. The instructor then demonstrates factoring using the greatest common factor (GCF) and variable extraction. The zero product property is applied to solve the equation, leading to the final solution. The tutorial concludes with a summary of the process.

Why can't inverse operations be used directly to solve the given equation?

• Because the equation is already factored.

• Because the equation has no variables.

• Because the equation has both quadratic and linear terms.

• Because the equation is linear.

What is the common factor that is factored out from the equation?

• The integer 5

• The variable X

• The fraction 4/5

• The constant term

What property is used to verify the factorization of the equation?

• Distributive property

• Zero product property

• Commutative property

• Associative property

What is the first step in solving the factored equation using the zero product property?

• Set each term equal to zero

• Add 4/5 to both sides

• Multiply both sides by 5

• Subtract 4/5 from both sides

What are the solutions to the equation after applying the zero product property?

• X = 0 and X = 5/4

• X = 4/5 and X = 5

• X = 0 and X = 4/25

• X = 5 and X = 4/5