3ax+12ax-36a=0

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Solution for 3ax+12ax-36a=0 equation:


Simplifying
3ax + 12ax + -36a = 0

Reorder the terms:
-36a + 3ax + 12ax = 0

Combine like terms: 3ax + 12ax = 15ax
-36a + 15ax = 0

Solving
-36a + 15ax = 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(-12 + 5x) = 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 '(-12 + 5x)' equal to zero and attempt to solve: Simplifying -12 + 5x = 0 Solving -12 + 5x = 0 Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 5x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 0 + 12 5x = 0 + 12 Combine like terms: 0 + 12 = 12 5x = 12 Add '-5x' to each side of the equation. 5x + -5x = 12 + -5x Combine like terms: 5x + -5x = 0 0 = 12 + -5x Simplifying 0 = 12 + -5x 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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