(4a+4b-4c)(2x+3)=

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Solution for (4a+4b-4c)(2x+3)= equation: 


Simplifying
(4a + 4b + -4c)(2x + 3) = 0

Reorder the terms:
(4a + 4b + -4c)(3 + 2x) = 0

Multiply (4a + 4b + -4c) * (3 + 2x)
(4a * (3 + 2x) + 4b * (3 + 2x) + -4c * (3 + 2x)) = 0
((3 * 4a + 2x * 4a) + 4b * (3 + 2x) + -4c * (3 + 2x)) = 0
((12a + 8ax) + 4b * (3 + 2x) + -4c * (3 + 2x)) = 0
(12a + 8ax + (3 * 4b + 2x * 4b) + -4c * (3 + 2x)) = 0
(12a + 8ax + (12b + 8bx) + -4c * (3 + 2x)) = 0
(12a + 8ax + 12b + 8bx + (3 * -4c + 2x * -4c)) = 0
(12a + 8ax + 12b + 8bx + (-12c + -8cx)) = 0
(12a + 8ax + 12b + 8bx + -12c + -8cx) = 0

Solving
12a + 8ax + 12b + 8bx + -12c + -8cx = 0

Solving for variable 'a'.

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

Add '-12b' to each side of the equation.
12a + 8ax + 12b + 8bx + -12c + -12b + -8cx = 0 + -12b

Reorder the terms:
12a + 8ax + 12b + -12b + 8bx + -12c + -8cx = 0 + -12b

Combine like terms: 12b + -12b = 0
12a + 8ax + 0 + 8bx + -12c + -8cx = 0 + -12b
12a + 8ax + 8bx + -12c + -8cx = 0 + -12b
Remove the zero:
12a + 8ax + 8bx + -12c + -8cx = -12b

Add '-8bx' to each side of the equation.
12a + 8ax + 8bx + -12c + -8bx + -8cx = -12b + -8bx

Reorder the terms:
12a + 8ax + 8bx + -8bx + -12c + -8cx = -12b + -8bx

Combine like terms: 8bx + -8bx = 0
12a + 8ax + 0 + -12c + -8cx = -12b + -8bx
12a + 8ax + -12c + -8cx = -12b + -8bx

Add '12c' to each side of the equation.
12a + 8ax + -12c + 12c + -8cx = -12b + -8bx + 12c

Combine like terms: -12c + 12c = 0
12a + 8ax + 0 + -8cx = -12b + -8bx + 12c
12a + 8ax + -8cx = -12b + -8bx + 12c

Add '8cx' to each side of the equation.
12a + 8ax + -8cx + 8cx = -12b + -8bx + 12c + 8cx

Combine like terms: -8cx + 8cx = 0
12a + 8ax + 0 = -12b + -8bx + 12c + 8cx
12a + 8ax = -12b + -8bx + 12c + 8cx

Reorder the terms:
12a + 8ax + 12b + 8bx + -12c + -8cx = -12b + 12b + -8bx + 8bx + 12c + -12c + 8cx + -8cx

Combine like terms: -12b + 12b = 0
12a + 8ax + 12b + 8bx + -12c + -8cx = 0 + -8bx + 8bx + 12c + -12c + 8cx + -8cx
12a + 8ax + 12b + 8bx + -12c + -8cx = -8bx + 8bx + 12c + -12c + 8cx + -8cx

Combine like terms: -8bx + 8bx = 0
12a + 8ax + 12b + 8bx + -12c + -8cx = 0 + 12c + -12c + 8cx + -8cx
12a + 8ax + 12b + 8bx + -12c + -8cx = 12c + -12c + 8cx + -8cx

Combine like terms: 12c + -12c = 0
12a + 8ax + 12b + 8bx + -12c + -8cx = 0 + 8cx + -8cx
12a + 8ax + 12b + 8bx + -12c + -8cx = 8cx + -8cx

Combine like terms: 8cx + -8cx = 0
12a + 8ax + 12b + 8bx + -12c + -8cx = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(3a + 2ax + 3b + 2bx + -3c + -2cx) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(3a + 2ax + 3b + 2bx + -3c + -2cx)' equal to zero and attempt to solve:

Simplifying
3a + 2ax + 3b + 2bx + -3c + -2cx = 0

Solving
3a + 2ax + 3b + 2bx + -3c + -2cx = 0

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

Add '-3b' to each side of the equation.
3a + 2ax + 3b + 2bx + -3c + -3b + -2cx = 0 + -3b

Reorder the terms:
3a + 2ax + 3b + -3b + 2bx + -3c + -2cx = 0 + -3b

Combine like terms: 3b + -3b = 0
3a + 2ax + 0 + 2bx + -3c + -2cx = 0 + -3b
3a + 2ax + 2bx + -3c + -2cx = 0 + -3b
Remove the zero:
3a + 2ax + 2bx + -3c + -2cx = -3b

Add '-2bx' to each side of the equation.
3a + 2ax + 2bx + -3c + -2bx + -2cx = -3b + -2bx

Reorder the terms:
3a + 2ax + 2bx + -2bx + -3c + -2cx = -3b + -2bx

Combine like terms: 2bx + -2bx = 0
3a + 2ax + 0 + -3c + -2cx = -3b + -2bx
3a + 2ax + -3c + -2cx = -3b + -2bx

Add '3c' to each side of the equation.
3a + 2ax + -3c + 3c + -2cx = -3b + -2bx + 3c

Combine like terms: -3c + 3c = 0
3a + 2ax + 0 + -2cx = -3b + -2bx + 3c
3a + 2ax + -2cx = -3b + -2bx + 3c

Add '2cx' to each side of the equation.
3a + 2ax + -2cx + 2cx = -3b + -2bx + 3c + 2cx

Combine like terms: -2cx + 2cx = 0
3a + 2ax + 0 = -3b + -2bx + 3c + 2cx
3a + 2ax = -3b + -2bx + 3c + 2cx

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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