12ax(a+7)=0

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Solution for 12ax(a+7)=0 equation: 


Simplifying
12ax(a + 7) = 0

Reorder the terms:
12ax(7 + a) = 0
(7 * 12ax + a * 12ax) = 0
(84ax + 12a2x) = 0

Solving
84ax + 12a2x = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '12ax'.
12ax(7 + a) = 0

Ignore the factor 12.

Subproblem 1
Set the factor 'ax' equal to zero and attempt to solve:

Simplifying
ax = 0

Solving
ax = 0

Move all terms containing a to the left, all other terms to the right.

Simplifying
ax = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(7 + a)' equal to zero and attempt to solve:

Simplifying
7 + a = 0

Solving
7 + a = 0

Move all terms containing a to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + a = 0 + -7
a = 0 + -7

Combine like terms: 0 + -7 = -7
a = -7

Simplifying
a = -7
Solution
a = {-7}

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