(-7a^3b^2m^3n^5)(-2ab^7m^9n^2)=2abmn

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Solution for (-7a^3b^2m^3n^5)(-2ab^7m^9n^2)=2abmn equation:


Simplifying
(-7a3b2m3n5)(-2ab7m9n2) = 2abmn

Remove parenthesis around (-7a3b2m3n5)
-7a3b2m3n5(-2ab7m9n2) = 2abmn

Remove parenthesis around (-2ab7m9n2)
-7a3b2m3n5 * -2ab7m9n2 = 2abmn

Reorder the terms for easier multiplication:
-7 * -2a3b2m3n5 * ab7m9n2 = 2abmn

Multiply -7 * -2
14a3b2m3n5 * ab7m9n2 = 2abmn

Multiply a3b2m3n5 * ab7m9n2
14a4b9m12n7 = 2abmn

Solving
14a4b9m12n7 = 2abmn

Solving for variable 'a'.

Reorder the terms:
-2abmn + 14a4b9m12n7 = 2abmn + -2abmn

Combine like terms: 2abmn + -2abmn = 0
-2abmn + 14a4b9m12n7 = 0

Factor out the Greatest Common Factor (GCF), '2abmn'.
2abmn(-1 + 7a3b8m11n6) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'abmn' equal to zero and attempt to solve: Simplifying abmn = 0 Solving abmn = 0 Move all terms containing a to the left, all other terms to the right. Simplifying abmn = 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 + 7a3b8m11n6)' equal to zero and attempt to solve: Simplifying -1 + 7a3b8m11n6 = 0 Solving -1 + 7a3b8m11n6 = 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 + 7a3b8m11n6 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7a3b8m11n6 = 0 + 1 7a3b8m11n6 = 0 + 1 Combine like terms: 0 + 1 = 1 7a3b8m11n6 = 1 Divide each side by '7b8m11n6'. a3 = 0.1428571429b-8m-11n-6 Simplifying a3 = 0.1428571429b-8m-11n-6 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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