(5ab-abc)+(5ab-abc)=0

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Solution for (5ab-abc)+(5ab-abc)=0 equation:


Simplifying
(5ab + -1abc) + (5ab + -1abc) = 0

Remove parenthesis around (5ab + -1abc)
5ab + -1abc + (5ab + -1abc) = 0

Remove parenthesis around (5ab + -1abc)
5ab + -1abc + 5ab + -1abc = 0

Reorder the terms:
5ab + 5ab + -1abc + -1abc = 0

Combine like terms: 5ab + 5ab = 10ab
10ab + -1abc + -1abc = 0

Combine like terms: -1abc + -1abc = -2abc
10ab + -2abc = 0

Solving
10ab + -2abc = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), '2ab'.
2ab(5 + -1c) = 0

Ignore the factor 2.

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 '(5 + -1c)' equal to zero and attempt to solve: Simplifying 5 + -1c = 0 Solving 5 + -1c = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1c = 0 + -5 -1c = 0 + -5 Combine like terms: 0 + -5 = -5 -1c = -5 Add 'c' to each side of the equation. -1c + c = -5 + c Combine like terms: -1c + c = 0 0 = -5 + c Simplifying 0 = -5 + c 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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