12ab-3a(2+3b)+5a=

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Solution for 12ab-3a(2+3b)+5a= equation:


Simplifying
12ab + -3a(2 + 3b) + 5a = 0
12ab + (2 * -3a + 3b * -3a) + 5a = 0
12ab + (-6a + -9ab) + 5a = 0

Reorder the terms:
-6a + 5a + 12ab + -9ab = 0

Combine like terms: -6a + 5a = -1a
-1a + 12ab + -9ab = 0

Combine like terms: 12ab + -9ab = 3ab
-1a + 3ab = 0

Solving
-1a + 3ab = 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), 'a'.
a(-1 + 3b) = 0

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