Solving Equations with Common Factors

The video tutorial guides viewers through solving an equation for K. It begins by encouraging viewers to attempt solving the equation themselves. The tutorial then analyzes the equation, identifying a common factor of three to the eighth, which allows for simplification. The process involves dividing each term by this factor and simplifying the equation step by step. The tutorial demonstrates isolating the K term and solving for its value, resulting in K equaling two. The video concludes with a summary of the solution.

What is the first step in solving the equation for K?

• Multiply each term by three to the eighth

• Add three to the eighth to each side

• Divide each product by three to the eighth

• Subtract three to the eighth from each side

After dividing by the common factor, what is the simplified form of three to the ninth divided by three to the eighth?

• Three to the third

• Three to the second

• Three to the first

• Three to the zero

What equation do we get after simplifying the left side?

• 6 + K = 4

• 6 - K = 4

• K - 6 = 4

• K + 6 = 4

How do we isolate the K term in the equation 6 - K = 4?

• Add 6 to both sides

• Subtract 4 from both sides

• Subtract 6 from both sides

• Add 4 to both sides

What is the result after isolating the K term?

• -K = 2

• -K = -2

• K = -2

• K = 2

What is the final solution for K after solving the equation?

• K = 3

• K = 0

• K = 2

• K = 1