4ax+6ay-4bx-6by=

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Solution for 4ax+6ay-4bx-6by= equation: 


Simplifying
4ax + 6ay + -4bx + -6by = 0

Solving
4ax + 6ay + -4bx + -6by = 0

Solving for variable 'a'.

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

Add '4bx' to each side of the equation.
4ax + 6ay + -4bx + 4bx + -6by = 0 + 4bx

Combine like terms: -4bx + 4bx = 0
4ax + 6ay + 0 + -6by = 0 + 4bx
4ax + 6ay + -6by = 0 + 4bx
Remove the zero:
4ax + 6ay + -6by = 4bx

Add '6by' to each side of the equation.
4ax + 6ay + -6by + 6by = 4bx + 6by

Combine like terms: -6by + 6by = 0
4ax + 6ay + 0 = 4bx + 6by
4ax + 6ay = 4bx + 6by

Reorder the terms:
4ax + 6ay + -4bx + -6by = 4bx + -4bx + 6by + -6by

Combine like terms: 4bx + -4bx = 0
4ax + 6ay + -4bx + -6by = 0 + 6by + -6by
4ax + 6ay + -4bx + -6by = 6by + -6by

Combine like terms: 6by + -6by = 0
4ax + 6ay + -4bx + -6by = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2ax + 3ay + -2bx + -3by) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2ax + 3ay + -2bx + -3by)' equal to zero and attempt to solve:

Simplifying
2ax + 3ay + -2bx + -3by = 0

Solving
2ax + 3ay + -2bx + -3by = 0

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

Add '2bx' to each side of the equation.
2ax + 3ay + -2bx + 2bx + -3by = 0 + 2bx

Combine like terms: -2bx + 2bx = 0
2ax + 3ay + 0 + -3by = 0 + 2bx
2ax + 3ay + -3by = 0 + 2bx
Remove the zero:
2ax + 3ay + -3by = 2bx

Add '3by' to each side of the equation.
2ax + 3ay + -3by + 3by = 2bx + 3by

Combine like terms: -3by + 3by = 0
2ax + 3ay + 0 = 2bx + 3by
2ax + 3ay = 2bx + 3by

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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