# Video: Using Distributive Property to Find the Value of an Unknown in an Algebraic Equation

Given that 16πβ΅πΒ² + 26π = 2π(8πβ΄πΒ² + π) what is the value of π?

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### Video Transcript

Given that 16π to the power of five π squared plus 26π is equal to two π multiplied by eight π to the power of four π squared plus π, what is the value of π?

In order to answer this question, we need to factorize the equation by taking out the highest common factor. In this case, the highest common factor is two π. This is because two is the highest common factor of 16 and 26. And π is the only other term in both parts of the equation.

Dividing 16π to the power of five π squared by two π gives us eight π to the power of four π squared as 16 divided by two is equal to eight and π to the power of five divided by π is equal to π to the power of four. This means that the first term inside our parentheses is eight π to the power of four π squared.

Dividing the second term 26π by two π gives us an answer of 13 as 26 divided by two is 13 and π divided by π is one. 13 multiplied by one is equal to 13. This means that the second term inside the parentheses is 13 plus 13.

As 13 is in the same position as the π in the question, we can say that π is equal to 13. We can check this answer by multiplying our two π outside the parentheses by the 13 inside the parentheses, which gives us 26π, the term that we started with.