3b*2b-48=0

Solution for 3b*2b-48=0 equation:

Simplifying
3b * 2b + -48 = 0

Reorder the terms for easier multiplication:
3 * 2b * b + -48 = 0

Multiply 3 * 2
6b * b + -48 = 0

Multiply b * b
6b2 + -48 = 0

Reorder the terms:
-48 + 6b2 = 0

Solving
-48 + 6b2 = 0

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '48' to each side of the equation.
-48 + 48 + 6b2 = 0 + 48

Combine like terms: -48 + 48 = 0
0 + 6b2 = 0 + 48
6b2 = 0 + 48

Combine like terms: 0 + 48 = 48
6b2 = 48

Divide each side by '6'.
b2 = 8

Simplifying
b2 = 8

Take the square root of each side:
b = {-2.828427125, 2.828427125}