338=.5*b*4b

Solution for 338=.5*b*4b equation:

Simplifying
338 = 0.5b * 4b

Reorder the terms for easier multiplication:
338 = 0.5 * 4b * b

Multiply 0.5 * 4
338 = 2b * b

Multiply b * b
338 = 2b2

Solving
338 = 2b2

Solving for variable 'b'.

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

Add '-2b2' to each side of the equation.
338 + -2b2 = 2b2 + -2b2

Combine like terms: 2b2 + -2b2 = 0
338 + -2b2 = 0

Add '-338' to each side of the equation.
338 + -338 + -2b2 = 0 + -338

Combine like terms: 338 + -338 = 0
0 + -2b2 = 0 + -338
-2b2 = 0 + -338

Combine like terms: 0 + -338 = -338
-2b2 = -338

Divide each side by '-2'.
b2 = 169

Simplifying
b2 = 169

Take the square root of each side:
b = {-13, 13}