48=2b*3b

Solution for 48=2b*3b equation:

Simplifying
48 = 2b * 3b

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

Multiply 2 * 3
48 = 6b * b

Multiply b * b
48 = 6b2

Solving
48 = 6b2

Solving for variable 'b'.

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

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

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

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}