5ab+3ac-2ab=

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Solution for 5ab+3ac-2ab= equation:


Simplifying
5ab + 3ac + -2ab = 0

Reorder the terms:
5ab + -2ab + 3ac = 0

Combine like terms: 5ab + -2ab = 3ab
3ab + 3ac = 0

Solving
3ab + 3ac = 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), '3a'.
3a(b + c) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0

Subproblem 2

Set the factor '(b + c)' equal to zero and attempt to solve: Simplifying b + c = 0 Solving b + c = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. b + -1b + c = 0 + -1b Combine like terms: b + -1b = 0 0 + c = 0 + -1b c = 0 + -1b Remove the zero: c = -1b Add '-1c' to each side of the equation. c + -1c = -1b + -1c Combine like terms: c + -1c = 0 0 = -1b + -1c Simplifying 0 = -1b + -1c The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

a = {0}

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