7ab+3ba+5a=0

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Solution for 7ab+3ba+5a=0 equation:


Simplifying
7ab + 3ba + 5a = 0

Reorder the terms:
5a + 7ab + 3ab = 0

Combine like terms: 7ab + 3ab = 10ab
5a + 10ab = 0

Solving
5a + 10ab = 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), '5a'.
5a(1 + 2b) = 0

Ignore the factor 5.

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 '(1 + 2b)' equal to zero and attempt to solve: Simplifying 1 + 2b = 0 Solving 1 + 2b = 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 + 2b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2b = 0 + -1 2b = 0 + -1 Combine like terms: 0 + -1 = -1 2b = -1 Add '-2b' to each side of the equation. 2b + -2b = -1 + -2b Combine like terms: 2b + -2b = 0 0 = -1 + -2b Simplifying 0 = -1 + -2b 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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