(a+b)=(10b)*(10b)*(10b)

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Solution for (a+b)=(10b)*(10b)*(10b) equation:


Simplifying
(a + b) = (10b)(10b)(10b)

Remove parenthesis around (a + b)
a + b = (10b)(10b)(10b)

Remove parenthesis around (10b)
a + b = 10b(10b)(10b)

Remove parenthesis around (10b)
a + b = 10b * 10b(10b)

Remove parenthesis around (10b)
a + b = 10b * 10b * 10b

Reorder the terms for easier multiplication:
a + b = 10 * 10 * 10b * b * b

Multiply 10 * 10
a + b = 100 * 10b * b * b

Multiply 100 * 10
a + b = 1000b * b * b

Multiply b * b
a + b = 1000b2 * b

Multiply b2 * b
a + b = 1000b3

Solving
a + b = 1000b3

Solving for variable 'a'.

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

Add '-1b' to each side of the equation.
a + b + -1b = -1b + 1000b3

Combine like terms: b + -1b = 0
a + 0 = -1b + 1000b3
a = -1b + 1000b3

Simplifying
a = -1b + 1000b3

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