What values of b satisfy 3(2b + 3)2 = 36?


Question: What values of b satisfy 3(2b + 3)2 = 36?

An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value. 

Answer: The value of b that satisfies the given equation 3(2b + 3)2 = 36 is 3/2 or 1.5

Let's calculate the value of x for the given equation 3(2b + 3)2 = 36

Explanation:

3(2b + 3)2 = 36

=> 3 × 2(2b + 3) = 36

=> 6(2b + 3) = 36

=> 2b + 3 = 36/6          (By transposing and fividing by 6)

=> 2b + 3 = 6

=> 2b = 3

=> b = 3/2

Thus, the value of b that satisfies the given equation 3(2b + 3)2 = 36 is 3/2 or 1.5