42a^2*(6y-8x)+(8x+6y)*b^1*xy=

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Solution for 42a^2*(6y-8x)+(8x+6y)*b^1*xy= equation: 


Simplifying
42a2(6y + -8x) + (8x + 6y) * b * xy = 0

Reorder the terms:
42a2(-8x + 6y) + (8x + 6y) * b * xy = 0
(-8x * 42a2 + 6y * 42a2) + (8x + 6y) * b * xy = 0
(-336a2x + 252a2y) + (8x + 6y) * b * xy = 0

Reorder the terms for easier multiplication:
-336a2x + 252a2y + b * xy(8x + 6y) = 0

Multiply b * xy
-336a2x + 252a2y + bxy(8x + 6y) = 0
-336a2x + 252a2y + (8x * bxy + 6y * bxy) = 0

Reorder the terms:
-336a2x + 252a2y + (6bxy2 + 8bx2y) = 0
-336a2x + 252a2y + (6bxy2 + 8bx2y) = 0

Solving
-336a2x + 252a2y + 6bxy2 + 8bx2y = 0

Solving for variable 'a'.

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

Add '-6bxy2' to each side of the equation.
-336a2x + 252a2y + 6bxy2 + -6bxy2 + 8bx2y = 0 + -6bxy2

Combine like terms: 6bxy2 + -6bxy2 = 0
-336a2x + 252a2y + 0 + 8bx2y = 0 + -6bxy2
-336a2x + 252a2y + 8bx2y = 0 + -6bxy2
Remove the zero:
-336a2x + 252a2y + 8bx2y = -6bxy2

Add '-8bx2y' to each side of the equation.
-336a2x + 252a2y + 8bx2y + -8bx2y = -6bxy2 + -8bx2y

Combine like terms: 8bx2y + -8bx2y = 0
-336a2x + 252a2y + 0 = -6bxy2 + -8bx2y
-336a2x + 252a2y = -6bxy2 + -8bx2y

Reorder the terms:
-336a2x + 252a2y + 6bxy2 + 8bx2y = -6bxy2 + 6bxy2 + -8bx2y + 8bx2y

Combine like terms: -6bxy2 + 6bxy2 = 0
-336a2x + 252a2y + 6bxy2 + 8bx2y = 0 + -8bx2y + 8bx2y
-336a2x + 252a2y + 6bxy2 + 8bx2y = -8bx2y + 8bx2y

Combine like terms: -8bx2y + 8bx2y = 0
-336a2x + 252a2y + 6bxy2 + 8bx2y = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-168a2x + 126a2y + 3bxy2 + 4bx2y) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-168a2x + 126a2y + 3bxy2 + 4bx2y)' equal to zero and attempt to solve:

Simplifying
-168a2x + 126a2y + 3bxy2 + 4bx2y = 0

Solving
-168a2x + 126a2y + 3bxy2 + 4bx2y = 0

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

Add '-3bxy2' to each side of the equation.
-168a2x + 126a2y + 3bxy2 + -3bxy2 + 4bx2y = 0 + -3bxy2

Combine like terms: 3bxy2 + -3bxy2 = 0
-168a2x + 126a2y + 0 + 4bx2y = 0 + -3bxy2
-168a2x + 126a2y + 4bx2y = 0 + -3bxy2
Remove the zero:
-168a2x + 126a2y + 4bx2y = -3bxy2

Add '-4bx2y' to each side of the equation.
-168a2x + 126a2y + 4bx2y + -4bx2y = -3bxy2 + -4bx2y

Combine like terms: 4bx2y + -4bx2y = 0
-168a2x + 126a2y + 0 = -3bxy2 + -4bx2y
-168a2x + 126a2y = -3bxy2 + -4bx2y

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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