4a+7ab-a+5ab=

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Solution for 4a+7ab-a+5ab= equation:


Simplifying
4a + 7ab + -1a + 5ab = 0

Reorder the terms:
4a + -1a + 7ab + 5ab = 0

Combine like terms: 4a + -1a = 3a
3a + 7ab + 5ab = 0

Combine like terms: 7ab + 5ab = 12ab
3a + 12ab = 0

Solving
3a + 12ab = 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(1 + 4b) = 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 '(1 + 4b)' equal to zero and attempt to solve: Simplifying 1 + 4b = 0 Solving 1 + 4b = 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 + 4b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4b = 0 + -1 4b = 0 + -1 Combine like terms: 0 + -1 = -1 4b = -1 Add '-4b' to each side of the equation. 4b + -4b = -1 + -4b Combine like terms: 4b + -4b = 0 0 = -1 + -4b Simplifying 0 = -1 + -4b 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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