Explanation: To solve this problem, we will simplify the expression on the left-hand side and solve for "b" as follows: The given expression is: 3(2b+3)² = 36
1- Divide both sides of the equation by 3. This will give: (2b+3)² = 12
3- Put the equation is standard form (ax² + bx + c = 0): 4b² + 12b + 9 = 12 4b² + 12b + 9 - 12 = 0 4b² + 12b - 3 = 0
4- Factorize the equation to get the values of "b": 4b² + 12b - 3 = 0 By comparing the given equation with the standard form, we will find that: a = 4 b = 12 c = -3 Use the quadratic formula shown in the attached image, substitute with the values of a, b and c and solve for "b" This will give us: either b = -1.5 + √3 or b = -1.5 - √3