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

Solution:

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

3(2b + 3)2 = 36

⇒ (6b + 9) × 2 = 36

⇒ 12b + 18 = 36

⇒ 12b = 36 - 18     (transposing 18 to RHS)    

⇒ 12b = 18

⇒ b = 18/12

⇒ b = 3/2

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

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

Summary:

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