24x^2+3xy=3x^2(8x+y)

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Solution for 24x^2+3xy=3x^2(8x+y) equation: 


Simplifying
24x2 + 3xy = 3x2(8x + y)

Reorder the terms:
3xy + 24x2 = 3x2(8x + y)
3xy + 24x2 = (8x * 3x2 + y * 3x2)

Reorder the terms:
3xy + 24x2 = (3x2y + 24x3)
3xy + 24x2 = (3x2y + 24x3)

Solving
3xy + 24x2 = 3x2y + 24x3

Solving for variable 'x'.

Reorder the terms:
3xy + 24x2 + -3x2y + -24x3 = 3x2y + -3x2y + 24x3 + -24x3

Combine like terms: 3x2y + -3x2y = 0
3xy + 24x2 + -3x2y + -24x3 = 0 + 24x3 + -24x3
3xy + 24x2 + -3x2y + -24x3 = 24x3 + -24x3

Combine like terms: 24x3 + -24x3 = 0
3xy + 24x2 + -3x2y + -24x3 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(y + 8x + -1xy + -8x2) = 0

Ignore the factor 3.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(y + 8x + -1xy + -8x2)' equal to zero and attempt to solve:

Simplifying
y + 8x + -1xy + -8x2 = 0

Reorder the terms:
8x + -1xy + -8x2 + y = 0

Solving
8x + -1xy + -8x2 + y = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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