224000=b(0.5)+b(0.8)

Solution for 224000=b(0.5)+b(0.8) equation:

Simplifying
224000 = b(0.5) + b(0.8)

Reorder the terms for easier multiplication:
224000 = 0.5b + b(0.8)

Reorder the terms for easier multiplication:
224000 = 0.5b + 0.8b

Combine like terms: 0.5b + 0.8b = 1.3b
224000 = 1.3b

Solving
224000 = 1.3b

Solving for variable 'b'.

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

Add '-1.3b' to each side of the equation.
224000 + -1.3b = 1.3b + -1.3b

Combine like terms: 1.3b + -1.3b = 0.0
224000 + -1.3b = 0.0

Add '-224000' to each side of the equation.
224000 + -224000 + -1.3b = 0.0 + -224000

Combine like terms: 224000 + -224000 = 0
0 + -1.3b = 0.0 + -224000
-1.3b = 0.0 + -224000

Combine like terms: 0.0 + -224000 = -224000
-1.3b = -224000

Divide each side by '-1.3'.
b = 172307.6923

Simplifying
b = 172307.6923