# What values of b satisfy 3(2b + 3)^{2} = 36?

# b = (2⎷3 – 3)/2 and b = (-3⎷3 – 2)/2 and b = (-2⎷3 – 3)/2 and b = (-2⎷3 + 3)/2

An equation is a mathematical statement with an ‘equal to’ symbol between two algebraic expressions that have equal values.

## Answer: b = (2⎷3 – 3)/2, b = (- 2⎷3 – 3)/2

An equation is like a weighing balance with equal weights on both sides. If we add or subtract the same number from both sides of an equation, it still holds.

## Explanation

3 (2b + 3)^{2} = 36

(2b + 3)^{2} = 12

2b + 3 = ± 2⎷3

2b = ± 2⎷3 – 3

B = (± 2⎷3 – 3)/2