(3x-18)(8c+32)=0

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Solution for (3x-18)(8c+32)=0 equation:


Simplifying
(3x + -18)(8c + 32) = 0

Reorder the terms:
(-18 + 3x)(8c + 32) = 0

Reorder the terms:
(-18 + 3x)(32 + 8c) = 0

Multiply (-18 + 3x) * (32 + 8c)
(-18(32 + 8c) + 3x * (32 + 8c)) = 0
((32 * -18 + 8c * -18) + 3x * (32 + 8c)) = 0
((-576 + -144c) + 3x * (32 + 8c)) = 0
(-576 + -144c + (32 * 3x + 8c * 3x)) = 0

Reorder the terms:
(-576 + -144c + (24cx + 96x)) = 0
(-576 + -144c + (24cx + 96x)) = 0
(-576 + -144c + 24cx + 96x) = 0

Solving
-576 + -144c + 24cx + 96x = 0

Solving for variable 'c'.

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

Add '576' to each side of the equation.
-576 + -144c + 24cx + 576 + 96x = 0 + 576

Reorder the terms:
-576 + 576 + -144c + 24cx + 96x = 0 + 576

Combine like terms: -576 + 576 = 0
0 + -144c + 24cx + 96x = 0 + 576
-144c + 24cx + 96x = 0 + 576

Combine like terms: 0 + 576 = 576
-144c + 24cx + 96x = 576

Add '-96x' to each side of the equation.
-144c + 24cx + 96x + -96x = 576 + -96x

Combine like terms: 96x + -96x = 0
-144c + 24cx + 0 = 576 + -96x
-144c + 24cx = 576 + -96x

Reorder the terms:
-576 + -144c + 24cx + 96x = 576 + -96x + -576 + 96x

Reorder the terms:
-576 + -144c + 24cx + 96x = 576 + -576 + -96x + 96x

Combine like terms: 576 + -576 = 0
-576 + -144c + 24cx + 96x = 0 + -96x + 96x
-576 + -144c + 24cx + 96x = -96x + 96x

Combine like terms: -96x + 96x = 0
-576 + -144c + 24cx + 96x = 0

Factor out the Greatest Common Factor (GCF), '24'.
24(-24 + -6c + cx + 4x) = 0

Ignore the factor 24.

Subproblem 1

Set the factor '(-24 + -6c + cx + 4x)' equal to zero and attempt to solve: Simplifying -24 + -6c + cx + 4x = 0 Solving -24 + -6c + cx + 4x = 0 Move all terms containing c to the left, all other terms to the right. Add '24' to each side of the equation. -24 + -6c + cx + 24 + 4x = 0 + 24 Reorder the terms: -24 + 24 + -6c + cx + 4x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -6c + cx + 4x = 0 + 24 -6c + cx + 4x = 0 + 24 Combine like terms: 0 + 24 = 24 -6c + cx + 4x = 24 Add '-4x' to each side of the equation. -6c + cx + 4x + -4x = 24 + -4x Combine like terms: 4x + -4x = 0 -6c + cx + 0 = 24 + -4x -6c + cx = 24 + -4x 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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