2(4b*3b)+2(3b*b)+2(4b*b)=864

Solution for 2(4b*3b)+2(3b*b)+2(4b*b)=864 equation:

Simplifying
2(4b * 3b) + 2(3b * b) + 2(4b * b) = 864

Reorder the terms for easier multiplication:
2(4 * 3b * b) + 2(3b * b) + 2(4b * b) = 864

Multiply 4 * 3
2(12b * b) + 2(3b * b) + 2(4b * b) = 864

Multiply b * b
2(12b2) + 2(3b * b) + 2(4b * b) = 864

Remove parenthesis around (12b2)
2 * 12b2 + 2(3b * b) + 2(4b * b) = 864

Multiply 2 * 12
24b2 + 2(3b * b) + 2(4b * b) = 864

Multiply b * b
24b2 + 2(3b2) + 2(4b * b) = 864

Remove parenthesis around (3b2)
24b2 + 2 * 3b2 + 2(4b * b) = 864

Multiply 2 * 3
24b2 + 6b2 + 2(4b * b) = 864

Multiply b * b
24b2 + 6b2 + 2(4b2) = 864

Remove parenthesis around (4b2)
24b2 + 6b2 + 2 * 4b2 = 864

Multiply 2 * 4
24b2 + 6b2 + 8b2 = 864

Combine like terms: 24b2 + 6b2 = 30b2
30b2 + 8b2 = 864

Combine like terms: 30b2 + 8b2 = 38b2
38b2 = 864

Solving
38b2 = 864

Solving for variable 'b'.

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

Divide each side by '38'.
b2 = 22.73684211

Simplifying
b2 = 22.73684211

Take the square root of each side:
b = {-4.768316486, 4.768316486}