3(abs(3x+-4))+9=21

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Solution for 3(abs(3x+-4))+9=21 equation: 


Simplifying
3(abs(3x + -4)) + 9 = 21

Reorder the terms:
3(abs(-4 + 3x)) + 9 = 21
3((-4 * abs + 3x * abs)) + 9 = 21
3((-4abs + 3absx)) + 9 = 21
(-4abs * 3 + 3absx * 3) + 9 = 21
(-12abs + 9absx) + 9 = 21

Reorder the terms:
9 + -12abs + 9absx = 21

Solving
9 + -12abs + 9absx = 21

Solving for variable 'a'.

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

Add '-9' to each side of the equation.
9 + -12abs + -9 + 9absx = 21 + -9

Reorder the terms:
9 + -9 + -12abs + 9absx = 21 + -9

Combine like terms: 9 + -9 = 0
0 + -12abs + 9absx = 21 + -9
-12abs + 9absx = 21 + -9

Combine like terms: 21 + -9 = 12
-12abs + 9absx = 12

Reorder the terms:
-12 + -12abs + 9absx = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + -12abs + 9absx = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-4 + -4abs + 3absx) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-4 + -4abs + 3absx)' equal to zero and attempt to solve:

Simplifying
-4 + -4abs + 3absx = 0

Solving
-4 + -4abs + 3absx = 0

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

Add '4' to each side of the equation.
-4 + -4abs + 4 + 3absx = 0 + 4

Reorder the terms:
-4 + 4 + -4abs + 3absx = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -4abs + 3absx = 0 + 4
-4abs + 3absx = 0 + 4

Combine like terms: 0 + 4 = 4
-4abs + 3absx = 4

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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