(2b^2)(a^5)(2b^4a)=4b^6a^5

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Solution for (2b^2)(a^5)(2b^4a)=4b^6a^5 equation:


Simplifying
(2b2)(a5)(2b4a) = 4b6a5

Remove parenthesis around (2b2)
2b2(a5)(2b4a) = 4b6a5

Remove parenthesis around (2ab4)
2b2 * a5 * 2ab4 = 4b6a5

Reorder the terms for easier multiplication:
2 * 2b2 * a5 * ab4 = 4b6a5

Multiply 2 * 2
4b2 * a5 * ab4 = 4b6a5

Multiply b2 * a5
4a5b2 * ab4 = 4b6a5

Multiply a5b2 * ab4
4a6b6 = 4b6a5

Solving
4a6b6 = 4a5b6

Solving for variable 'a'.

Reorder the terms:
-4a5b6 + 4a6b6 = 4a5b6 + -4a5b6

Combine like terms: 4a5b6 + -4a5b6 = 0
-4a5b6 + 4a6b6 = 0

Factor out the Greatest Common Factor (GCF), '4a5b6'.
4a5b6(-1 + a) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'a5b6' equal to zero and attempt to solve: Simplifying a5b6 = 0 Solving a5b6 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a5b6 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-1 + a)' equal to zero and attempt to solve: Simplifying -1 + a = 0 Solving -1 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + a = 0 + 1 a = 0 + 1 Combine like terms: 0 + 1 = 1 a = 1 Simplifying a = 1

Solution

a = {1}

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