24=.5b*3b

Solution for 24=.5b*3b equation:

Simplifying
24 = 0.5b * 3b

Reorder the terms for easier multiplication:
24 = 0.5 * 3b * b

Multiply 0.5 * 3
24 = 1.5b * b

Multiply b * b
24 = 1.5b2

Solving
24 = 1.5b2

Solving for variable 'b'.

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

Add '-1.5b2' to each side of the equation.
24 + -1.5b2 = 1.5b2 + -1.5b2

Combine like terms: 1.5b2 + -1.5b2 = 0.0
24 + -1.5b2 = 0.0

Add '-24' to each side of the equation.
24 + -24 + -1.5b2 = 0.0 + -24

Combine like terms: 24 + -24 = 0
0 + -1.5b2 = 0.0 + -24
-1.5b2 = 0.0 + -24

Combine like terms: 0.0 + -24 = -24
-1.5b2 = -24

Divide each side by '-1.5'.
b2 = 16

Simplifying
b2 = 16

Take the square root of each side:
b = {-4, 4}