X(3p-12k)=24p-96k

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Solution for X(3p-12k)=24p-96k equation: 


Simplifying
X(3p + -12k) = 24p + -96k

Reorder the terms:
X(-12k + 3p) = 24p + -96k
(-12k * X + 3p * X) = 24p + -96k
(-12kX + 3pX) = 24p + -96k

Reorder the terms:
-12kX + 3pX = -96k + 24p

Solving
-12kX + 3pX = -96k + 24p

Solving for variable 'k'.

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

Add '96k' to each side of the equation.
-12kX + 96k + 3pX = -96k + 96k + 24p

Reorder the terms:
96k + -12kX + 3pX = -96k + 96k + 24p

Combine like terms: -96k + 96k = 0
96k + -12kX + 3pX = 0 + 24p
96k + -12kX + 3pX = 24p

Add '-3pX' to each side of the equation.
96k + -12kX + 3pX + -3pX = 24p + -3pX

Combine like terms: 3pX + -3pX = 0
96k + -12kX + 0 = 24p + -3pX
96k + -12kX = 24p + -3pX

Reorder the terms:
96k + -12kX + -24p + 3pX = 24p + -24p + -3pX + 3pX

Combine like terms: 24p + -24p = 0
96k + -12kX + -24p + 3pX = 0 + -3pX + 3pX
96k + -12kX + -24p + 3pX = -3pX + 3pX

Combine like terms: -3pX + 3pX = 0
96k + -12kX + -24p + 3pX = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(32k + -4kX + -8p + pX) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(32k + -4kX + -8p + pX)' equal to zero and attempt to solve:

Simplifying
32k + -4kX + -8p + pX = 0

Solving
32k + -4kX + -8p + pX = 0

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

Add '8p' to each side of the equation.
32k + -4kX + -8p + 8p + pX = 0 + 8p

Combine like terms: -8p + 8p = 0
32k + -4kX + 0 + pX = 0 + 8p
32k + -4kX + pX = 0 + 8p
Remove the zero:
32k + -4kX + pX = 8p

Add '-1pX' to each side of the equation.
32k + -4kX + pX + -1pX = 8p + -1pX

Combine like terms: pX + -1pX = 0
32k + -4kX + 0 = 8p + -1pX
32k + -4kX = 8p + -1pX

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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