(7a^2b^3)(2ab)=3ab

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Solution for (7a^2b^3)(2ab)=3ab equation:


Simplifying
(7a2b3)(2ab) = 3ab

Remove parenthesis around (7a2b3)
7a2b3(2ab) = 3ab

Remove parenthesis around (2ab)
7a2b3 * 2ab = 3ab

Reorder the terms for easier multiplication:
7 * 2a2b3 * ab = 3ab

Multiply 7 * 2
14a2b3 * ab = 3ab

Multiply a2b3 * ab
14a3b4 = 3ab

Solving
14a3b4 = 3ab

Solving for variable 'a'.

Reorder the terms:
-3ab + 14a3b4 = 3ab + -3ab

Combine like terms: 3ab + -3ab = 0
-3ab + 14a3b4 = 0

Factor out the Greatest Common Factor (GCF), 'ab'.
ab(-3 + 14a2b3) = 0

Subproblem 1

Set the factor 'ab' equal to zero and attempt to solve: Simplifying ab = 0 Solving ab = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab = 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 '(-3 + 14a2b3)' equal to zero and attempt to solve: Simplifying -3 + 14a2b3 = 0 Solving -3 + 14a2b3 = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 14a2b3 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 14a2b3 = 0 + 3 14a2b3 = 0 + 3 Combine like terms: 0 + 3 = 3 14a2b3 = 3 Divide each side by '14b3'. a2 = 0.2142857143b-3 Simplifying a2 = 0.2142857143b-3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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